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Atle Selberg

Index Atle Selberg

Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory. [1]

59 relations: Abel Prize, American Academy of Arts and Sciences, Analytic number theory, Annals of Mathematics, Automorphic form, Chen's theorem, Chowla–Selberg formula, Closed geodesic, Compact Riemann surface, Complex analysis, Dennis Hejhal, Doctor of Philosophy, Eigenvalues and eigenvectors, Elementary proof, Fields Medal, Gábor Szegő, Gerald L. Alexanderson, German occupation of Norway, Gunnerus Medal, Hans Rademacher, Honorary degree, Institute for Advanced Study, Johann Bernoulli, Langesund, Laplace–Beltrami operator, Maass–Selberg relations, Mathematician, Mustapha Matura, New Jersey, Norwegian Academy of Science and Letters, Norwegian Institute of Technology, Norwegian University of Science and Technology, Notices of the American Mathematical Society, Number theory, Ole Michael Ludvigsen Selberg, Paul Erdős, Pólya, Prime number, Prime number theorem, Primes in arithmetic progression, Princeton University Press, Princeton, New Jersey, Riemann hypothesis, Riemann zeta function, Royal Danish Academy of Sciences and Letters, Selberg class, Selberg integral, Selberg sieve, Selberg trace formula, Selberg zeta function, ..., Selberg's 1/4 conjecture, Sieve theory, Spectral theory, Srinivasa Ramanujan, The New York Times, University of Oslo, Wolf Prize, Wolf Prize in Mathematics, World War II. Expand index (9 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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American Academy of Arts and Sciences

The American Academy of Arts and Sciences is one of the oldest learned societies in the United States of America.

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Analytic number theory

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers.

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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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Automorphic form

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of the topological group.

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Chen's theorem

In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes, or a prime and a semiprime (the product of two primes).

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Chowla–Selberg formula

In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the Gamma function at rational values in terms of values of the Dedekind eta function at imaginary quadratic irrational numbers.

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Closed geodesic

In differential geometry and dynamical systems, a closed geodesic on a Riemannian manifold is a geodesic that returns to its starting point with the same tangent direction.

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Compact Riemann surface

In mathematics, a compact Riemann surface is a complex manifold of dimension one that is a compact space.

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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Dennis Hejhal

Dennis Arnold Hejhal (born December 10, 1948 in Chicago) is an American mathematician.

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

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Elementary proof

In mathematics, an elementary proof is a mathematical proof that only uses basic techniques.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Gábor Szegő

Gábor Szegő (January 20, 1895 – August 7, 1985) was a Hungarian mathematician.

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Gerald L. Alexanderson

Gerald Lee Alexanderson (born 1933) is an American mathematician.

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German occupation of Norway

The German occupation of Norway began on 9 April 1940 after German forces invaded the neutral Scandinavian country of Norway.

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Gunnerus Medal

The Gunnerus Medal (Gunnerusmedaljen) is a medal awarded by the learned society Royal Norwegian Society of Sciences and Letters.

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Hans Rademacher

Hans Adolph Rademacher (3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German-born American mathematician, known for work in mathematical analysis and number theory.

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Honorary degree

An honorary degree, in Latin a degree honoris causa ("for the sake of the honor") or ad honorem ("to the honor"), is an academic degree for which a university (or other degree-awarding institution) has waived the usual requirements, such as matriculation, residence, a dissertation and the passing of comprehensive examinations.

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Institute for Advanced Study

The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.

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Johann Bernoulli

Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family.

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Langesund

is the administrative centre of the municipality of Bamble, Norway.

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Laplace–Beltrami operator

In differential geometry, the Laplace operator, named after Pierre-Simon Laplace, can be generalized to operate on functions defined on surfaces in Euclidean space and, more generally, on Riemannian and pseudo-Riemannian manifolds.

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Maass–Selberg relations

In mathematics, the Maass–Selberg relations are some relations describing the inner products of truncated real analytic Eisenstein series, that in some sense say that distinct Eisenstein series are orthogonal.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mustapha Matura

Mustapha Matura (born 17 December 1939) is a Trinidadian playwright living in London.

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New Jersey

New Jersey is a state in the Mid-Atlantic region of the Northeastern United States.

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Norwegian Academy of Science and Letters

The Norwegian Academy of Science and Letters (Det Norske Videnskaps-Akademi, DNVA) is a learned society based in Oslo, Norway.

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Norwegian Institute of Technology

The Norwegian Institute of Technology, known by its Norwegian abbreviation NTH (Norges tekniske høgskole) was a science institute in Trondheim, Norway.

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Norwegian University of Science and Technology

The Norwegian University of Science and Technology (Norges teknisk-naturvitenskapelige universitet, abbreviated NTNU) is a public research university with campuses in the cities of Trondheim, Gjøvik, and Ålesund in Norway, and has become the largest university in Norway, following the university merger in 2016.

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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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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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Ole Michael Ludvigsen Selberg

Ole Michael Ludvigsen Selberg (7 October 1877 – 11 December 1950) was a Norwegian mathematician and educator.

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Paul Erdős

Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.

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Pólya

Pólya (means "Fess" in Hungarian) may refer to.

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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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Prime number theorem

In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.

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Primes in arithmetic progression

In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression.

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Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

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Princeton, New Jersey

Princeton is a municipality with a borough form of government in Mercer County, New Jersey, United States, that was established in its current form on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township.

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Riemann hypothesis

In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part.

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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

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Royal Danish Academy of Sciences and Letters

The Royal Danish Academy of Sciences and Letters (Kongelige Danske Videnskabernes Selskab) is a Danish non-governmental science Academy, founded in 1742 for the advancement of science in Denmark.

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Selberg class

In mathematics, the Selberg class is an axiomatic definition of a class of ''L''-functions.

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Selberg integral

In mathematics the Selberg integral is a generalization of Euler beta function to n dimensions introduced by.

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Selberg sieve

In mathematics, in the field of number theory, the Selberg sieve is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which are expressed by congruences.

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Selberg trace formula

In mathematics, the Selberg trace formula, introduced by, is an expression for the character of the unitary representation of on the space of square-integrable functions, where is a Lie group and a cofinite discrete group.

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Selberg zeta function

The Selberg zeta-function was introduced by.

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Selberg's 1/4 conjecture

In mathematics, Selberg's conjecture, conjectured by, states that the eigenvalues of the Laplace operator on Maass wave forms of congruence subgroups are at least 1/4.

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Sieve theory

Sieve theory is a set of general techniques in number theory, designed to count, or more realistically to estimate the size of, sifted sets of integers.

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Spectral theory

In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.

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Srinivasa Ramanujan

Srinivasa Ramanujan (22 December 188726 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems considered to be unsolvable.

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The New York Times

The New York Times (sometimes abbreviated as The NYT or The Times) is an American newspaper based in New York City with worldwide influence and readership.

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University of Oslo

The University of Oslo (Universitetet i Oslo), until 1939 named the Royal Frederick University (Det Kongelige Frederiks Universitet), is the oldest university in Norway, located in the Norwegian capital of Oslo.

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Wolf Prize

The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...

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Wolf Prize in Mathematics

The Wolf Prize in Mathematics is awarded almost annually by the Wolf Foundation in Israel.

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World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

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References

[1] https://en.wikipedia.org/wiki/Atle_Selberg

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