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

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

2003-05-23

arxiv.org/abs/math/0305339v1

Mathematics

Number Theory

12 pages

Scientific paper

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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