Upper and lower bounds for the function S(t) on the short intervals

2013/02/02 by Maxim Aleksandrovich Korolev, Maxim A. Korolev, Korolev, Maxim A.
Mathematics · #11M06 #11M26 #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT) #math.NT #msc:11M06 #msc:11M26

paper · pdf · doi:10.48550/arxiv.1302.0352

11 pages

arxiv created 2013/02/02 · openalex publication_date 2013/02/02 · arxiv updated 2013/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove under RH the existence of a very large positive and negative values of the argument of the Riemann zeta function on a very short intervals.

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