Similarities between Number theory and Prime number theorem
Number theory and Prime number theorem have 23 things in common (in Unionpedia): Abelian and tauberian theorems, Adrien-Marie Legendre, Arithmetic progression, Atle Selberg, Bernhard Riemann, Carl Friedrich Gauss, Complex analysis, Dirichlet's theorem on arithmetic progressions, Divisor, Elementary proof, Finite field, G. H. Hardy, Integer, Landau prime ideal theorem, Leonhard Euler, Paul Erdős, Peano axioms, Peter Gustav Lejeune Dirichlet, Prime number, Real number, Riemann hypothesis, Riemann zeta function, Wiener–Ikehara theorem.
Abelian and tauberian theorems
In mathematics, Abelian and Tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber.
Abelian and tauberian theorems and Number theory · Abelian and tauberian theorems and Prime number theorem ·
Adrien-Marie Legendre
Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.
Adrien-Marie Legendre and Number theory · Adrien-Marie Legendre and Prime number theorem ·
Arithmetic progression
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Arithmetic progression and Number theory · Arithmetic progression and Prime number theorem ·
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.
Atle Selberg and Number theory · Atle Selberg and Prime number theorem ·
Bernhard Riemann
Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry.
Bernhard Riemann and Number theory · Bernhard Riemann and Prime number theorem ·
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.
Carl Friedrich Gauss and Number theory · Carl Friedrich Gauss and Prime number theorem ·
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.
Complex analysis and Number theory · Complex analysis and Prime number theorem ·
Dirichlet's theorem on arithmetic progressions
In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n is a non-negative integer.
Dirichlet's theorem on arithmetic progressions and Number theory · Dirichlet's theorem on arithmetic progressions and Prime number theorem ·
Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
Divisor and Number theory · Divisor and Prime number theorem ·
Elementary proof
In mathematics, an elementary proof is a mathematical proof that only uses basic techniques.
Elementary proof and Number theory · Elementary proof and Prime number theorem ·
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
Finite field and Number theory · Finite field and Prime number theorem ·
G. H. Hardy
Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis.
G. H. Hardy and Number theory · G. H. Hardy and Prime number theorem ·
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").
Integer and Number theory · Integer and Prime number theorem ·
Landau prime ideal theorem
In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem.
Landau prime ideal theorem and Number theory · Landau prime ideal theorem and Prime number theorem ·
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.
Leonhard Euler and Number theory · Leonhard Euler and Prime number theorem ·
Paul Erdős
Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.
Number theory and Paul Erdős · Paul Erdős and Prime number theorem ·
Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.
Number theory and Peano axioms · Peano axioms and Prime number theorem ·
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.
Number theory and Peter Gustav Lejeune Dirichlet · Peter Gustav Lejeune Dirichlet and Prime number theorem ·
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.
Number theory and Prime number · Prime number and Prime number theorem ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Number theory and Real number · Prime number theorem and Real number ·
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.
Number theory and Riemann hypothesis · Prime number theorem and Riemann hypothesis ·
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.
Number theory and Riemann zeta function · Prime number theorem and Riemann zeta function ·
Wiener–Ikehara theorem
The Wiener–Ikehara theorem is a Tauberian theorem introduced by.
Number theory and Wiener–Ikehara theorem · Prime number theorem and Wiener–Ikehara theorem ·
The list above answers the following questions
- What Number theory and Prime number theorem have in common
- What are the similarities between Number theory and Prime number theorem
Number theory and Prime number theorem Comparison
Number theory has 216 relations, while Prime number theorem has 97. As they have in common 23, the Jaccard index is 7.35% = 23 / (216 + 97).
References
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