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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73335In 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.19 pagesNumber Theory11M06Lower order terms of the second moment of $S(t)$text