A note on S(T) and the zeros of the Riemann zeta-function

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dc.creatorGoldston, D. A.
dc.creatorGonek, S. M.
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:50:45Z
dc.date.available2026-07-07T06:50:45Z
dc.descriptionLet $πS(t)$ denote the argument of the Riemann zeta-function at the point $\frac12+it$. Assuming the Riemann Hypothesis, we sharpen the constant in the best currently known bounds for $S(t)$ and for the change of $S(t)$ in intervals. We then deduce estimates for the largest multiplicity of a zero of the zeta-function and for the largest gap between the zeros.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0511092
dc.identifierhttp://arxiv.org/abs/math/0511092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104764
dc.subjectNumber Theory
dc.subject11M26
dc.titleA note on S(T) and the zeros of the Riemann zeta-function
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