Similarities between Dirichlet's theorem on arithmetic progressions and Prime number
Dirichlet's theorem on arithmetic progressions and Prime number have 19 things in common (in Unionpedia): Algebraic number theory, Analytic number theory, Annals of Mathematics, Arithmetic progression, Chebotarev's density theorem, Coprime integers, Euclid's theorem, Euler's totient function, Gaussian integer, Green–Tao theorem, Landau's problems, Modular arithmetic, Multiplicative inverse, Number theory, Prime number theorem, Prime Pages, Quadratic reciprocity, Riemann zeta function, Springer Science+Business Media.
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.
Algebraic number theory and Dirichlet's theorem on arithmetic progressions · Algebraic number theory and Prime number ·
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.
Analytic number theory and Dirichlet's theorem on arithmetic progressions · Analytic number theory and Prime number ·
Annals of Mathematics
The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.
Annals of Mathematics and Dirichlet's theorem on arithmetic progressions · Annals of Mathematics and Prime number ·
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 Dirichlet's theorem on arithmetic progressions · Arithmetic progression and Prime number ·
Chebotarev's density theorem
Chebotarev's density theorem in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field \mathbb of rational numbers.
Chebotarev's density theorem and Dirichlet's theorem on arithmetic progressions · Chebotarev's density theorem and Prime number ·
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.
Coprime integers and Dirichlet's theorem on arithmetic progressions · Coprime integers and Prime number ·
Euclid's theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers.
Dirichlet's theorem on arithmetic progressions and Euclid's theorem · Euclid's theorem and Prime number ·
Euler's totient function
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.
Dirichlet's theorem on arithmetic progressions and Euler's totient function · Euler's totient function and Prime number ·
Gaussian integer
In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers.
Dirichlet's theorem on arithmetic progressions and Gaussian integer · Gaussian integer and Prime number ·
Green–Tao theorem
In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions.
Dirichlet's theorem on arithmetic progressions and Green–Tao theorem · Green–Tao theorem and Prime number ·
Landau's problems
At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about primes.
Dirichlet's theorem on arithmetic progressions and Landau's problems · Landau's problems and Prime number ·
Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
Dirichlet's theorem on arithmetic progressions and Modular arithmetic · Modular arithmetic and Prime number ·
Multiplicative inverse
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.
Dirichlet's theorem on arithmetic progressions and Multiplicative inverse · Multiplicative inverse and Prime number ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Dirichlet's theorem on arithmetic progressions and Number theory · Number theory and Prime number ·
Prime number theorem
In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.
Dirichlet's theorem on arithmetic progressions and Prime number theorem · Prime number and Prime number theorem ·
Prime Pages
The Prime Pages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin.
Dirichlet's theorem on arithmetic progressions and Prime Pages · Prime Pages and Prime number ·
Quadratic reciprocity
In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers.
Dirichlet's theorem on arithmetic progressions and Quadratic reciprocity · Prime number and Quadratic reciprocity ·
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.
Dirichlet's theorem on arithmetic progressions and Riemann zeta function · Prime number and Riemann zeta function ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Dirichlet's theorem on arithmetic progressions and Springer Science+Business Media · Prime number and Springer Science+Business Media ·
The list above answers the following questions
- What Dirichlet's theorem on arithmetic progressions and Prime number have in common
- What are the similarities between Dirichlet's theorem on arithmetic progressions and Prime number
Dirichlet's theorem on arithmetic progressions and Prime number Comparison
Dirichlet's theorem on arithmetic progressions has 42 relations, while Prime number has 340. As they have in common 19, the Jaccard index is 4.97% = 19 / (42 + 340).
References
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