vix.ing · top · new · best · stats · spec

The rate of growth of moments of certain cotangent sums

2014/11/09 by Helmut Maier, Maier, Helmut, Michael Th. Rassias +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1411.2187

arxiv created 2014/11/09 · openalex publication_date 2014/11/09 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider cotangent sums associated to the zeros of the Estermann zeta function considered by the authors in their previous paper [5]. We settle a question on the rate of growth of the moments of these cotangent sums left open in [5], and obtain a simpler proof of the equidistribution of these sums.

Related