Mollification of the Fourth Moment of Dirichlet L-functions
Number Theory
2019-12-04 v3
Abstract
We evaluate some twisted fourth moment of Dirichlet -functions at the central point s=1/2 and for prime moduli q. The principal tool is a careful analysis of a shifted convolution problem involving the divisor function using spectral theory of automorphic forms and bounds for bilinear forms in Kloosterman sums. Having in mind simultaneous non vanishing results, we apply the Theorem to establish an asymptotic formula of a mollified fourth moment for this family of -functions
Keywords
Cite
@article{arxiv.1611.09582,
title = {Mollification of the Fourth Moment of Dirichlet L-functions},
author = {Raphaël Zacharias},
journal= {arXiv preprint arXiv:1611.09582},
year = {2019}
}