Hybrid Euler-Hadamard Product for Dirichlet $L$-functions with Prime conductors over Function Fields
Number Theory
2019-09-20 v1
Abstract
In this paper we extend the hybrid Euler-Hadamard product model for quadratic Dirichlet -functions associated to irreducible polynomials over function fields. We also establish an asymptotic formula for the first twisted moment in this family of L-functions and then we provide further evidence for the conjectural asymptotic formulas for its moments.
Cite
@article{arxiv.1909.08953,
title = {Hybrid Euler-Hadamard Product for Dirichlet $L$-functions with Prime conductors over Function Fields},
author = {Julio Andrade and Asmaa Shamesaldeen},
journal= {arXiv preprint arXiv:1909.08953},
year = {2019}
}
Comments
20 pages, comments are welcome