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

Tsz Ho Chan

arxiv: math/0305339 · v1 · pith:GY5EO7PDnew · submitted 2003-05-23 · 🧮 math.NT

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

Tsz Ho Chan This is my paper

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keywords momentriemannsecondassumeasymptoticbetterconjectureerror

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

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