Hybrid Euler-Hadamard product for quadratic Dirichlet $L$-functions in function fields
Number Theory
2018-04-04 v1
Abstract
We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet --functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of --functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.
Keywords
Cite
@article{arxiv.1609.05363,
title = {Hybrid Euler-Hadamard product for quadratic Dirichlet $L$-functions in function fields},
author = {H. M. Bui and Alexandra Florea},
journal= {arXiv preprint arXiv:1609.05363},
year = {2018}
}