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arXiv:1210.3097 [math.NT]AbstractReferencesReviewsResources

The explicit upper bound of the multiple integral of $S(t)$ on the Riemann Hypothesis

Takahiro Wakasa

Published 2012-10-11Version 1

We prove explicit upper bounds of the function $S_m(T)$, defined by the repeated integration of the argument of the Riemann zeta-function. The explicit upper bound of $S(T)$ and $S_1(T)$ have already been obtained by A. Fujii. Our result is a generalization of Fujii's results.

Categories: math.NT
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