A modest improvement on the function $S(T)$

Details A modest improvement on the function $S(T)$ A modest improvement on the function $S(T)$

2010-10-21

arxiv.org/abs/1010.4596v1

Mathematics

Number Theory

10 pages

Scientific paper

This paper contains a small improvement to the explicit bounds on the growth
of the function $S(T)$. It is shown how more substantial improvements are
possible if one has better explicit bounds on the growth of
$|\zeta(\frac{1}{2}+it)|$.

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