On the maximum of cotangent sums related to the Riemann Hypothesis in rational numbers in short intervals

2021/01/04 by Helmut Maier, Maier, Helmut, Michael Th. Rassias +1
Mathematics · #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2101.01089

openalex publication_date 2021/01/04 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Cotangent sums play a significant role in the Nyman-Beurling criterion for the Riemann Hypothesis. Here we investigate the maximum of the values of these cotangent sums over various sets of rational numbers in short intervals.

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