Asymptotics for moments of certain cotangent sums for arbitrary exponents

2016/12/05 by Helmut Maier, Maier, Helmut, Michael Th. Rassias +1
Mathematics · #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1612.01391

openalex publication_date 2016/12/05 · openalex created_date 2016/12/16 · openalex updated_date 2026/07/28

Abstract

In this paper we extend a result on the asymptotics of moments of certain cotangent sums associated to the Estermann and Riemann zeta functions established in a previous paper for integer exponents to arbitrary positive real exponents.

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• Asymptotics for moments of certain cotangent sums
• The rate of growth of moments of certain cotangent sums
• Generalizations of a cotangent sum associated to the Estermann zeta function
• Upper bounds for moments of zeta sums
• On the asymptotics of a cotangent sum related to the Estermann zeta function