Chebotarev's density theorem in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q {\displaystyle...

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

Tao, 2003 Stevenhagen, Peter; Lenstra, Hendrik W (1996). "Chebotarev and his density theorem". The Mathematical Intelligencer. 18 (2): 26–37. CiteSeerX 10...

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

theorem (group theory) Central limit theorem (probability) Cesàro's theorem (real analysis) Ceva's theorem (geometry) Chasles's theorems Chebotarev's...

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

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

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

1947) was a Soviet mathematician. He is best known for the Chebotaryov density theorem. He was a student of Dmitry Grave, a Russian mathematician. Chebotaryov...

{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)...

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...

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

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...

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

ring of integers 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...

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...

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

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

∈ 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...

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

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

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

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

with any algebraic numerical coefficients 12. Extensions of Kronecker's theorem on Abelian fields to any algebraic realm of rationality 13. Impossibility...

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

can be used to derive the combined mass of the group by using the virial theorem. Virgo Supercluster (Virgo SC) weak-line star A reference to the faintness...