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arXiv · 1010.4596

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

Timothy Trudgian
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Abstract

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 $|ζ(\frac{1}{2}+it)|$.

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Timothy Trudgian. 2010-10-21. A modest improvement on the function $S(T)$. https://arxiv.org/abs/1010.4596

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