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arXiv:math/0411501 [math.NT]AbstractReferencesReviewsResources

Lower order terms of the second moment of $S(t)$

Tsz Ho Chan

Published 2004-11-22Version 1

In this article, we derive an asymptotic formula for the second moment of $S(t)$ 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.

Comments: 19 pages
Categories: math.NT
Subjects: 11M06
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