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Fermat's Last Theorem

Index Fermat's Last Theorem

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2. [1]

158 relations: Abel Prize, Abu-Mahmud Khojandi, Adrien-Marie Legendre, Alexandria, Algebraic number theory, American Mathematical Monthly, Anales de la Universidad de Chile, André Weil, Andrew Wiles, Angelo Genocchi, Annali di Matematica Pura ed Applicata, Annals of Mathematics, Arithmetica, Axel Thue, Étienne Fouvry, Babylonian mathematics, Beal conjecture, Bernard Frénicle de Bessy, Blaise Pascal, Carl Friedrich Gauss, Chinese mathematics, Claude Gaspard Bachet de Méziriac, Comptes rendus de l'Académie des Sciences, Conjecture, Construction, Contraposition, Coprime integers, Crelle's Journal, Cyclotomic field, David Hilbert, Diophantine equation, Diophantus, Diophantus II.VIII, Elementary function arithmetic, Elemente der Mathematik, Elliptic curve, Equation, Ernst Kummer, Euclidean algorithm, Euler system, Euler's sum of powers conjecture, Exponentiation, Faltings's theorem, Fermat's Last Theorem (book), Fermat's Last Theorem in fiction, Fermat's right triangle theorem, Field (mathematics), French Academy of Sciences, Frey curve, Gabriel Lamé, ..., Galois theory, Geometry, Gerd Faltings, Gerhard Frey, German gold mark, German Mathematical Society, Goro Shimura, Greek mathematics, Group (mathematics), Guinness World Records, Guy Terjanian, Harold Edwards (mathematician), Harold Stark, Harry Vandiver, Harvey Friedman, History of mathematics, History of the Theory of Numbers, Howard Eves, Ideal number, Indian mathematics, Insight, Integer, Isaac Newton Institute, Iwasawa theory, Jean-Pierre Serre, Johannes van der Corput, John H. Coates, John Stillwell, John Wallis, Joseph Bertrand, Joseph Liouville, Journal de Mathématiques Pures et Appliquées, Journal of Number Theory, Journal of the American Mathematical Society, Karel Rychlík, Ken Ribet, Kurt Hensel, Langlands program, Leonard Adleman, Leonard Eugene Dickson, Leonhard Euler, Leopold Kronecker, Lift (mathematics), List of unsolved problems in mathematics, Louis J. Mordell, Marin Mersenne, Mathematical induction, Mathematical proof, Mathematics Magazine, Matthias Flach (mathematician), Modular elliptic curve, Modular form, Modularity theorem, Nature (journal), Nick Katz, Niels Henrik Abel, Notices of the American Mathematical Society, Nouvelles Annales de Mathématiques, Number theory, Olry Terquem, Optic equation, Paul Wolfskehl, Paulo Ribenboim, Peer review, Peter Barlow (mathematician), Peter Gustav Lejeune Dirichlet, Peter Tait (physicist), Pierre de Fermat, Prime number, Proof by contradiction, Proof by infinite descent, Proof of impossibility, Pythagoras, Pythagorean theorem, Pythagorean triple, Ratio, Rational number, Regular prime, Ribet's theorem, Richard Taylor (mathematician), Right angle, Right triangle, Ring (mathematics), Robert Daniel Carmichael, Roger Heath-Brown, Root of unity, Samuel S. Wagstaff Jr., Semistable abelian variety, Sign (mathematics), Simon Singh, Sophie Germain, Sophie Germain prime, Sophie Germain's theorem, Square (algebra), Star Trek: The Next Generation, Sums of powers, SWAC (computer), Théophile Pépin, The Mathematical Gazette, The Royale, The Simpsons, The Wizard of Evergreen Terrace, Unique factorization domain, Victor Kolyvagin, Victor-Amédée Lebesgue, Wall–Sun–Sun prime, Wiles's proof of Fermat's Last Theorem, Yutaka Taniyama. Expand index (108 more) »

Abel Prize

The Abel Prize (Abelprisen) is a Norwegian prize awarded annually by the Government of Norway to one or more outstanding mathematicians.

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Abu-Mahmud Khojandi

Abu Mahmud Hamid ibn Khidr Khojandi (known as Abu Mahmood Khojandi, Alkhujandi or al-Khujandi, Persian: ابومحمود خجندی, c. 940 - 1000) was a Central Asian astronomer and mathematician who lived in the late 10th century and helped build an observatory, near the city of Ray (near today's Tehran), in Iran.

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Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.

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Alexandria

Alexandria (or; Arabic: الإسكندرية; Egyptian Arabic: إسكندرية; Ⲁⲗⲉⲝⲁⲛⲇⲣⲓⲁ; Ⲣⲁⲕⲟⲧⲉ) is the second-largest city in Egypt and a major economic centre, extending about along the coast of the Mediterranean Sea in the north central part of the country.

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Algebraic number theory

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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Anales de la Universidad de Chile

Anales de la Universidad de Chile is a biannual peer-reviewed academic journal containing research and critical reflections on arts, humanities, and science.

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André Weil

André Weil (6 May 1906 – 6 August 1998) was an influential French mathematician of the 20th century, known for his foundational work in number theory, algebraic geometry.

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Andrew Wiles

Sir Andrew John Wiles (born 11 April 1953) is a British mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.

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Angelo Genocchi

Angelo Genocchi (5 March 1817 – 7 March 1889) was an Italian mathematician who specialized in number theory.

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Annali di Matematica Pura ed Applicata

The Annali di Matematica Pura ed Applicata (Annals of Pure and Applied Mathematics) is a bimonthly peer-reviewed scientific journal covering all aspects of pure and applied mathematics.

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Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Arithmetica

Arithmetica (Ἀριθμητικά) is an Ancient Greek text on mathematics written by the mathematician Diophantus in the 3rd century AD.

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Axel Thue

Axel Thue (19 February 1863 – 7 March 1922), was a Norwegian mathematician, known for highly original work in diophantine approximation, and combinatorics.

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Étienne Fouvry

Étienne Fouvry is a French mathematician working primarily in analytic number theory.

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Babylonian mathematics

Babylonian mathematics (also known as Assyro-Babylonian mathematics) was any mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the fall of Babylon in 539 BC.

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Beal conjecture

The Beal conjecture is the following conjecture in number theory: Equivalently, The conjecture was formulated in 1993 by Andrew Beal, a banker and amateur mathematician, while investigating generalizations of Fermat's last theorem.

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Bernard Frénicle de Bessy

Bernard Frénicle de Bessy (c. 1604 – 1674), was a French mathematician born in Paris, who wrote numerous mathematical papers, mainly in number theory and combinatorics.

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Blaise Pascal

Blaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Catholic theologian.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Chinese mathematics

Mathematics in China emerged independently by the 11th century BC.

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Claude Gaspard Bachet de Méziriac

Claude Gaspard Bachet de Méziriac (October 9, 1581 – February 26, 1638) was a French mathematician, linguist, poet and classics scholar born in Bourg-en-Bresse, at that time belonging to Duchy of Savoy.

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Comptes rendus de l'Académie des Sciences

Comptes rendus de l'Académie des Sciences (English: Proceedings of the Academy of sciences), or simply Comptes rendus, is a French scientific journal which has been published since 1666.

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Conjecture

In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found.

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Construction

Construction is the process of constructing a building or infrastructure.

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Contraposition

In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive.

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Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

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Crelle's Journal

Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).

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Cyclotomic field

In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to, the field of rational numbers.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Diophantine equation

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).

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Diophantus

Diophantus of Alexandria (Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between AD 201 and 215; died around 84 years old, probably sometime between AD 285 and 299) was an Alexandrian Hellenistic mathematician, who was the author of a series of books called Arithmetica, many of which are now lost.

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Diophantus II.VIII

The eighth problem of the second book of Diophantus's Arithmetica is to divide a square into a sum of two squares.

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Elementary function arithmetic

In proof theory, a branch of mathematical logic, elementary function arithmetic, also called EFA, elementary arithmetic and exponential function arithmetic, is the system of arithmetic with the usual elementary properties of 0, 1, +, ×, xy, together with induction for formulas with bounded quantifiers.

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Elemente der Mathematik

Elemente der Mathematik is a peer-reviewed scientific journal covering mathematics.

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Elliptic curve

In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Ernst Kummer

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician.

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Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

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Euler system

In mathematics, an Euler system is a collection of compatible elements of Galois cohomology groups indexed by fields.

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Euler's sum of powers conjecture

Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem.

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Exponentiation

Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.

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Faltings's theorem

In number theory, the Mordell conjecture is the conjecture made by that a curve of genus greater than 1 over the field Q of rational numbers has only finitely many rational points.

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Fermat's Last Theorem (book)

Fermat's Last Theorem is a popular science book (1997) by Simon Singh.

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Fermat's Last Theorem in fiction

The problem in number theory known as "Fermat's Last Theorem" has repeatedly received attention in fiction and popular culture.

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Fermat's right triangle theorem

Fermat's right triangle theorem is a non-existence proof in number theory, the only complete proof left by Pierre de Fermat.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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French Academy of Sciences

The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.

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Frey curve

In mathematics, a Frey curve or Frey–Hellegouarch curve is the elliptic curve associated with a (hypothetical) solution of Fermat's equation The curve is named after Gerhard Frey.

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Gabriel Lamé

Gabriel Lamé (22 July 1795 – 1 May 1870) was a French mathematician who contributed to the theory of partial differential equations by the use of curvilinear coordinates, and the mathematical theory of elasticity.

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Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Gerd Faltings

Gerd Faltings (born 28 July 1954) is a German mathematician known for his work in arithmetic algebraic geometry.

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Gerhard Frey

Gerhard Frey (born 1944) is a German mathematician, known for his work in number theory.

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German gold mark

The Goldmark (officially just Mark, sign: ℳ) was the currency used in the German Empire from 1873 to 1914.

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German Mathematical Society

The German Mathematical Society (Deutsche Mathematiker-Vereinigung – DMV) is the main professional society of German mathematicians.

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Goro Shimura

is a Japanese mathematician, and currently a professor emeritus of mathematics (former Michael Henry Strater Chair) at Princeton University.

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Greek mathematics

Greek mathematics refers to mathematics texts and advances written in Greek, developed from the 7th century BC to the 4th century AD around the shores of the Eastern Mediterranean.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Guinness World Records

Guinness World Records, known from its inception in 1955 until 2000 as The Guinness Book of Records and in previous United States editions as The Guinness Book of World Records, is a reference book published annually, listing world records both of human achievements and the extremes of the natural world.

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Guy Terjanian

Guy Terjanian is a French mathematician who has worked on algebraic number theory.

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Harold Edwards (mathematician)

Harold Mortimer Edwards, Jr. (born August 6, 1936) is an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.

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Harold Stark

Harold Mead Stark (born August 6, 1939 in Los Angeles, California) is an American mathematician, specializing in number theory.

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Harry Vandiver

Harry Schultz Vandiver (21 October 1882 – 9 January 1973) was an American mathematician, known for work in number theory.

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Harvey Friedman

__notoc__ Harvey Friedman (born 23 September 1948)Handbook of Philosophical Logic,, p. 38 is a mathematical logician at Ohio State University in Columbus, Ohio.

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History of mathematics

The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.

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History of the Theory of Numbers

History of the Theory of Numbers is a three-volume work by L. E. Dickson summarizing work in number theory up to about 1920.

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Howard Eves

Howard Whitley Eves (10 January 1911, New Jersey – 6 June 2004) was an American mathematician, known for his work in geometry and the history of mathematics.

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Ideal number

In number theory an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings.

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Indian mathematics

Indian mathematics emerged in the Indian subcontinent from 1200 BC until the end of the 18th century.

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Insight

Insight is the understanding of a specific cause and effect within a specific context.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Isaac Newton Institute

The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its many applications at the University of Cambridge.

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Iwasawa theory

In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields.

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Jean-Pierre Serre

Jean-Pierre Serre (born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory.

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Johannes van der Corput

Johannes Gaultherus van der Corput (4 September 1890 – 16 September 1975) was a Dutch mathematician, working in the field of analytic number theory.

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John H. Coates

John Henry Coates, FRS (born 26 January 1945) is a mathematician who was the Sadleirian Professor of Pure Mathematics at the University of Cambridge in the United Kingdom from 1986 to 2012.

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John Stillwell

John Colin Stillwell (born 1942) is an Australian mathematician on the faculties of the University of San Francisco and Monash University.

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John Wallis

John Wallis (3 December 1616 – 8 November 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus.

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Joseph Bertrand

Joseph Louis François Bertrand (11 March 1822 – 5 April 1900) was a French mathematician who worked in the fields of number theory, differential geometry, probability theory, economics and thermodynamics.

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Joseph Liouville

Joseph Liouville FRS FRSE FAS (24 March 1809 – 8 September 1882) was a French mathematician.

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Journal de Mathématiques Pures et Appliquées

The Journal de Mathématiques Pures et Appliquées is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874).

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Journal of Number Theory

The Journal of Number Theory is a mathematics journal that publishes a broad spectrum of original research in number theory.

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Journal of the American Mathematical Society

The Journal of the American Mathematical Society (JAMS), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society.

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Karel Rychlík

Karel Rychlík (1885–1968) was a Czech mathematician who contributed significantly to the fields of algebra, number theory, mathematical analysis, and the history of mathematics.

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Ken Ribet

Kenneth Alan "Ken" Ribet (born June 28, 1948) is an American mathematician, currently a professor of mathematics at the University of California, Berkeley.

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Kurt Hensel

Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg.

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Langlands program

In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry.

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Leonard Adleman

Leonard Adleman (born December 31, 1945) is an American computer scientist.

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Leonard Eugene Dickson

Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Leopold Kronecker

Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.

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Lift (mathematics)

In the branch of mathematics called category theory, given a morphism f from an object X to an object Y, and a morphism g from an object Z to Y, a lift or lifting of f to Z is a morphism h from X to Z such that f.

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List of unsolved problems in mathematics

Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, and yet many mathematical problems, both major and minor, still remain unsolved.

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Louis J. Mordell

Louis Joel Mordell (28 January 1888 – 12 March 1972) was an American-born British mathematician, known for pioneering research in number theory.

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Marin Mersenne

Marin Mersenne, Marin Mersennus or le Père Mersenne (8 September 1588 – 1 September 1648) was a French polymath, whose works touched a wide variety of fields.

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Mathematical induction

Mathematical induction is a mathematical proof technique.

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Mathematical proof

In mathematics, a proof is an inferential argument for a mathematical statement.

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Mathematics Magazine

Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.

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Matthias Flach (mathematician)

Matthias Flach is a German mathematician, professor and former executive officer for mathematics (department chair) at California Institute of Technology.

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Modular elliptic curve

A modular elliptic curve is an elliptic curve E that admits a parametrisation X0(N) → E by a modular curve.

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Modular form

In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.

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Modularity theorem

In mathematics, the modularity theorem (formerly called the Taniyama–Shimura conjecture or related names like Taniyama–Shimura–Weil conjecture due to rediscovery) states that elliptic curves over the field of rational numbers are related to modular forms.

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Nature (journal)

Nature is a British multidisciplinary scientific journal, first published on 4 November 1869.

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Nick Katz

Nicholas Michael Katz (born December 7, 1943) is an American mathematician, working in the fields of algebraic geometry, particularly on ''p''-adic methods, monodromy and moduli problems, and number theory.

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Niels Henrik Abel

Niels Henrik Abel (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields.

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Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

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Nouvelles Annales de Mathématiques

The Nouvelles Annales de Mathématiques (subtitled Journal des candidats aux écoles polytechnique et normale) was a French scientific journal in mathematics.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Olry Terquem

Olry Terquem (16 June 1782 – 6 May 1862) was a French mathematician.

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Optic equation

In number theory, the optic equationDickson, L. E., History of the Theory of Numbers, Volume II: Diophantine Analysis, Chelsea Publ.

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Paul Wolfskehl

Paul Friedrich Wolfskehl (30 June 1856 in Darmstadt – 13 September 1906 in Darmstadt), was a physician with an interest in mathematics.

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Paulo Ribenboim

Paulo Ribenboim (born March 13, 1928) is a Brazilian-Canadian mathematician who specializes in number theory.

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Peer review

Peer review is the evaluation of work by one or more people of similar competence to the producers of the work (peers).

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Peter Barlow (mathematician)

Peter Barlow (13 October 1776 – 1 March 1862)Lance Day and Ian McNeil, Biographical dictionary of the history of technology, Routledge, 1995, page 42.

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Peter Gustav Lejeune Dirichlet

Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.

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Peter Tait (physicist)

Peter Guthrie Tait FRSE (28 April 1831 – 4 July 1901) was a Scottish mathematical physicist and early pioneer in thermodynamics.

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Pierre de Fermat

Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Proof by contradiction

In logic, proof by contradiction is a form of proof, and more specifically a form of indirect proof, that establishes the truth or validity of a proposition.

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Proof by infinite descent

In mathematics, a proof by infinite descent is a particular kind of proof by contradiction that relies on the least integer principle.

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Proof of impossibility

A proof of impossibility, also known as negative proof, proof of an impossibility theorem, or negative result, is a proof demonstrating that a particular problem cannot be solved, or cannot be solved in general.

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Pythagoras

Pythagoras of Samos was an Ionian Greek philosopher and the eponymous founder of the Pythagoreanism movement.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Pythagorean triple

A Pythagorean triple consists of three positive integers,, and, such that.

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Ratio

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Regular prime

In number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem.

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Ribet's theorem

In mathematics, Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is a statement in number theory concerning properties of Galois representations associated with modular forms.

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Richard Taylor (mathematician)

Richard Lawrence Taylor (born 19 May 1962) is a British and American mathematician working in the field of number theory.

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Right angle

In geometry and trigonometry, a right angle is an angle of exactly 90° (degrees), corresponding to a quarter turn.

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Right triangle

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle).

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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Robert Daniel Carmichael

Robert Daniel Carmichael (March 1, 1879 – May 2, 1967) was an American mathematician.

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Roger Heath-Brown

David Rodney "Roger" Heath-Brown FRS (born 12 October 1952), is a British mathematician working in the field of analytic number theory.

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Root of unity

In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.

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Samuel S. Wagstaff Jr.

Samuel Standfield Wagstaff Jr. (born 21 February 1945) is an American mathematician and computer scientist, whose research interests are in the areas of cryptography, parallel computation, and analysis of algorithms, especially number theoretic algorithms.

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Semistable abelian variety

In algebraic geometry, a semistable abelian variety is an abelian variety defined over a global or local field, which is characterized by how it reduces at the primes of the field.

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Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

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Simon Singh

Simon Lehna Singh, (born 19 September 1964) is a British popular science author, theoretical and particle physicist whose works largely contain a strong mathematical element.

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Sophie Germain

Marie-Sophie Germain (1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher.

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Sophie Germain prime

In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime.

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Sophie Germain's theorem

In number theory, Sophie Germain's theorem is a statement about the divisibility of solutions to the equation xp + yp.

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Square (algebra)

In mathematics, a square is the result of multiplying a number by itself.

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Star Trek: The Next Generation

Star Trek: The Next Generation (abbreviated as TNG and ST:TNG) is an American science-fiction television series in the Star Trek franchise created by Gene Roddenberry that ran from 1987 to 1994.

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Sums of powers

In mathematics and statistics, sums of powers occur in a number of contexts.

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SWAC (computer)

The SWAC (Standards Western Automatic Computer) was an early electronic digital computer built in 1950 by the U.S. National Bureau of Standards (NBS) in Los Angeles, California.

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Théophile Pépin

Jean François Théophile Pépin (14 May 1826 – 3 April 1904) was a French mathematician.

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The Mathematical Gazette

The Mathematical Gazette is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching.

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The Royale

"The Royale" is the 12th episode of the second season of the American science fiction television series Star Trek: The Next Generation, the 38th episode overall.

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The Simpsons

The Simpsons is an American animated sitcom created by Matt Groening for the Fox Broadcasting Company.

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The Wizard of Evergreen Terrace

"The Wizard of Evergreen Terrace" is the second episode in the tenth season of the American animated television series The Simpsons.

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Unique factorization domain

In mathematics, a unique factorization domain (UFD) is an integral domain (a non-zero commutative ring in which the product of non-zero elements is non-zero) in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers.

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Victor Kolyvagin

Victor Alexandrovich Kolyvagin (Ви́ктор Алекса́ндрович Колыва́гин) is a Russian mathematician who wrote a series of papers on Euler systems, leading to breakthroughs on the Birch and Swinnerton-Dyer conjecture, and Iwasawa's conjecture for cyclotomic fields.

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Victor-Amédée Lebesgue

Victor-Amédée Lebesgue, sometimes written Le Besgue, (2 October 1791, Grandvilliers (Oise) – 10 June 1875, Bordeaux (Gironde)) was a mathematician working on number theory.

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Wall–Sun–Sun prime

In number theory, a Wall–Sun–Sun prime or Fibonacci–Wieferich prime is a certain kind of prime number which is conjectured to exist, although none are known.

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Wiles's proof of Fermat's Last Theorem

Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves.

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Yutaka Taniyama

Yutaka Taniyama (Japanese: 谷山 豊 Taniyama Yutaka; 12 November 1927, Kisai near Tokyo – 17 November 1958, Tokyo) was a Japanese mathematician known for the Taniyama–Shimura conjecture.

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References

[1] https://en.wikipedia.org/wiki/Fermat's_Last_Theorem

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