Lower order terms of the second moment of $S(t)$
Number Theory
2007-05-23 v1
Abstract
In this article, we derive an asymptotic formula for the second moment of which includes the lower order terms using a prediction from the ratios conjecture of Conrey, Farmer and Zirnbauer. The formula matches very well with actual values of the second moment.
Cite
@article{arxiv.math/0411501,
title = {Lower order terms of the second moment of $S(t)$},
author = {Tsz Ho Chan},
journal= {arXiv preprint arXiv:math/0411501},
year = {2007}
}
Comments
19 pages