The third moment of quadratic Dirichlet L-functions

TL;DR

This paper investigates the third moment of quadratic Dirichlet L-functions, providing an improved error term estimate of size O(X^{3/4 + ε}) for their asymptotic behavior.

Contribution

It offers a new bound on the error term in the third moment calculation of quadratic Dirichlet L-functions.

Findings

Error term of size O(X^{3/4 + ε}) established

Enhanced understanding of the distribution of quadratic Dirichlet L-functions

Advances in moments calculation techniques for L-functions

Abstract

We study the third moment of quadratic Dirichlet L-functions, obtaining an error term of size $O(X^{3/4 + \varepsilon})$.