On the second moment of S(T) in the theory of the Riemann zeta function

2003/05/23 by Chan, Tsz Ho
#11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0305339

Abstract

We assume the Riemann Hypothesis and an quantitative form of the Twin Prime Conjecture, and obtain an asymptotic formula for the second moment of S(T) with better error term.

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• The second moment of S_n(t) on the Riemann hypothesis
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