The Fourth Moment of Dirichlet L-Functions for the Rational Function Field
Number Theory
2013-01-01 v6
Abstract
We study the moments of the Dirichlet L-function when defined over the polynomial ring over finite fields. We find an asymptotic formula to the fourth moment of the central value of Dirichlet L functions in this context. We also find a lower bound to the 2kth moment of these L-functions.
Keywords
Cite
@article{arxiv.1207.4969,
title = {The Fourth Moment of Dirichlet L-Functions for the Rational Function Field},
author = {Nattalie Tamam},
journal= {arXiv preprint arXiv:1207.4969},
year = {2013}
}