Zobrazeno 1 - 10
of 3 853
pro vyhledávání: '"Chebotarev, P."'
Autor:
Thorner, Jesse, Zhang, Zhuo
We improve the uniformity in the asymptotic Chebotarev density theorem for Galois extensions of number fields satisfying Artin's holomorphy conjecture. Using nonabelian base change, this yields an unconditional improvement to the uniformity in the Ch
Externí odkaz:
http://arxiv.org/abs/2412.01802
Autor:
Sengupta, Sroyon
\textit{{\small We aim to get an algebraic generalization of Alladi-Johnson's (A-J) work on Duality between Prime Factors and the Prime Number Theorem for Arithmetic Progressions - II, using the Chebotarev Density Theorem (CDT). It has been proved by
Externí odkaz:
http://arxiv.org/abs/2410.22226
A subset $\{g_1, \ldots , g_d\}$ of a finite group $G$ invariably generates $G$ if $\{g_1^{x_1}, \ldots , g_d^{x_d}\}$ generates $G$ for every choice of $x_i \in G$. The Chebotarev invariant $C(G)$ of $G$ is the expected value of the random variable
Externí odkaz:
http://arxiv.org/abs/2408.12298
Given a finite group G, we prove that the vector space spanned by the faithful irreducible characters of G is generated by the monomial characters in the vector space. As a consequence, we show that in any family of G-extensions of a fixed number fie
Externí odkaz:
http://arxiv.org/abs/2405.08383
In this paper we find lower bounds on higher moments of the error term in the Chebotarev density theorem. Inspired by the work of Bella\''{\i}che, we consider general class functions and prove bounds which depend on norms associated to these function
Externí odkaz:
http://arxiv.org/abs/2301.12899
In this paper we investigate higher moments attached to the Chebotarev Density Theorem. Our focus is on the impact that peculiar Galois group structures have on the limiting distribution. Precisely we consider in this paper the case of groups having
Externí odkaz:
http://arxiv.org/abs/2301.12826
We compute the $p$-adic densities of points with a given splitting type along a (generically) finite map, analogous to the classical Chebotarev theorem over number fields and function fields. Under some mild hypotheses, we prove that these densities
Externí odkaz:
http://arxiv.org/abs/2212.00294
We prove an explicit Chebotarev variant of the Brun--Titchmarsh theorem. This leads to explicit versions of the best-known unconditional upper bounds toward conjectures of Lang and Trotter for the coefficients of holomorphic cuspidal newforms. In par
Externí odkaz:
http://arxiv.org/abs/2208.10459
Autor:
Duval, Guillaume
The classical congruences satisfied by the Fibonacci and Lucas sequences are reflected with the decomposition of primes in the ring generated by the gold number. This generalizes to establish a correspondence that we hope will be new between Chebotar
Externí odkaz:
http://arxiv.org/abs/2208.08899
Autor:
Amri, Mohammed Amin
Publikováno v:
European Journal of Mathematics 9,86 (2023)
In this paper, we state a hybrid Chebotarev-Sato-Tate conjecture for abelian varieties and we prove it in several particular cases using current potential automorphy theorems.
Comment: Comments are welcome
Comment: Comments are welcome
Externí odkaz:
http://arxiv.org/abs/2203.11498