Moments in the Chebotarev density theorem: non-Gaussian families
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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 a character of large degree. Under the Generalized Riemann Hypothesis, we prove in particular that there exists families of Galois extensions of number fields having doubly transitive Frobenius group for which no Gaussian limiting distribution occurs.Read less <
English Keywords
Chebotarev density theorem
Explicit formulae in arithmetic
Moment computations
Origin
Hal imported