Asymptotics for moments of certain cotangent sums
Helmut Maier, Michael Th. Rassias
TL;DR
This paper investigates the asymptotic behavior of specific cotangent sums related to the Estermann and Riemann zeta functions, providing refined estimates on their magnitude.
Contribution
It offers improved asymptotic estimates for cotangent sums connected to key number-theoretic functions, advancing understanding of their growth.
Findings
Refined asymptotic bounds for cotangent sums
Enhanced understanding of their relation to zeta functions
Improved order of magnitude estimates
Abstract
In this paper we improve a result on the order of magnitude of certain cotangent sums associated to the Estermann and the Riemann zeta functions.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical functions and polynomials · Mathematical Dynamics and Fractals