The Chebotarev density theorem in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q...

University of St Andrews. Lenstra, H. W.; Stevenhagen, P. (1996), "Chebotarëv and his density theorem" (PDF), Mathematical Intelligencer, 18 (2): 26–37, doi:10...

density theorem may refer to Density conjecture for Kleinian groups Chebotarev's density theorem in algebraic number theory Jacobson density theorem in...

Brun's theorem (number theory) Brun–Titchmarsh theorem (number theory) Carmichael's theorem (Fibonacci numbers) Chebotarev's density theorem (number...

The Chebotarev theorem on roots of unity was originally a conjecture made by Ostrowski in the context of lacunary series. Chebotarev was the first to prove...

number field is addressed by Chebotarev's density theorem, which (when applied to the cyclotomic integers) has Dirichlet's theorem on primes in arithmetic...

Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered as the polynomial case. It is a conjecture of Alexander...

likely to occur as p {\displaystyle p} runs through the primes—see Chebotarev density theorem. The law of quadratic reciprocity implies that the splitting behaviour...

{\displaystyle \mathbb {Z} } . The ERH implies an effective version of the Chebotarev density theorem: if L/K is a finite Galois extension with Galois group G, and...

algebraic number theory, Dirichlet's theorem generalizes to the Chebotarev's density theorem. Linnik's theorem (1944) concerns the size of the smallest...

Wisconsin–Madison. Among other work, he gave explicit bounds for the Chebotarev density theorem, which imply that if one assumes the generalized Riemann hypothesis...

extensions Decomposition group Inertia group Frobenius automorphism Chebotarev's density theorem Totally real field Local field p-adic number p-adic analysis...

∈ M K 0 − S {\displaystyle p\in M_{K}^{0}-S} (also using the Chebotarev density theorem). Curtis, Reiner, Representation theory of finite groups and associative...

Dirichlet's theorem on arithmetic progressions Linnik's theorem Elliott–Halberstam conjecture Functional equation (L-function) Chebotarev's density theorem Local...

main theorems of global class field theory. It can be used to prove that Artin L-functions are meromorphic, and also to prove the Chebotarev density theorem...

{\displaystyle L(\rho ,s)} we obtain the Chebotarev density theorem as a generalization of Dirichlet's theorem on arithmetic progressions. Artin L-functions...

field Dirichlet's unit theorem, S-unit Kummer extension Minkowski's theorem, Geometry of numbers Chebotarev's density theorem Ray class group Decomposition...

constraints. In the case of number fields, for example, this is Chebotarev's density theorem. An arithmetical formation is an arithmetic semigroup G with...

and notion of Chaplygin gas. Nikolai Chebotaryov, author of Chebotarev's density theorem Pafnuti Chebyshev, prominent tutor and founding father of Russian...

aerodynamics and notion of Chaplygin gas Nikolai Chebotaryov, author of Chebotarev's density theorem Pafnuti Chebyshev, prominent tutor and founding father of Russian...

{Z} [i]+(i-5)\mathbf {Z} [i]=\cdots =(2-3i)\mathbf {Z} [i].} Chebotarev's density theorem Milne, J.S. (2020). Class Field Theory. Stein, William A. (2002)...

in his 1980 Ph.D. thesis, Peter Sarnak proved an analogue of Chebotarev's density theorem. There are other similarities to number theory — error estimates...

theorem, Krylov–Bogolyubov theorem, describing function and multiple contributions to quantum mechanics Nikolai Chebotaryov, author of Chebotarev's density...

introduced by Chebotarev in his proof of Chebotarev's density theorem, and used shortly afterwards by Artin to prove his reciprocity theorem. For general...

Nieuw Archief for Wiskunde 2000. with Peter Stevenhagen: Chebotarev and his density theorem. Mathematical Intelligencer 1992 (Online at Lenstra's Homepage)...

extension of the Galois theory (see, for example, Abhyankar Vitushkin, Chebotarev, and others). It appears from one of Hilbert's papers that this was his...

effective range of its gravitational influence, was calculated by G. A. Chebotarev to be 230,000 AU. Within 10 light-years of the Sun there are relatively...

Office, archived from the original on 2022-02-23, retrieved 2021-11-22 Chebotarev, G. A. (April 1964), "Gravitational Spheres of the Major Planets, Moon...