Extreme values of the Riemann zeta function at its critical points in the critical strip

2021/10/27 by Shashank Chorge, Chorge, Shashank
Mathematics · #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2110.14229

openalex publication_date 2021/10/27 · openalex created_date 2023/03/20 · openalex updated_date 2026/07/28

Abstract

We estimate large and small values of |ζ(ρ')|, where ρ' runs over critical points of the zeta function in the right half of the critical strip, that is, the points where ζ'(ρ')=0 and 1/2

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