Lower order terms of the second moment of S(t)
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🧮 math.NT
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momentsecondformulalowerordertermsactualarticle
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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.
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