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

zbMath1288.11084arXiv1210.3097MaRDI QIDQ4925675

Takahiro Wakasa

Publication date: 12 June 2013

Full work available at URL: https://arxiv.org/abs/1210.3097

zbMATH Keywords

multiple integralRiemann zeta-functionRiemann hypothesis

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (3)

Bounding S_n(t) on the Riemann hypothesis ⋮ On explicit estimates for \(S(t)\), \(S_1(t)\), and \(\zeta ( 1 / 2 + \operatorname{i} t )\) under the Riemann hypothesis ⋮ Large values of the argument of the Riemann zeta-function and its iterates

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