A reciprocal sum related to the Riemann zeta function at s=6
WonTae Hwang, Kyunghwan Song
TL;DR
This paper presents an explicit formula for a reciprocal sum connected to the Riemann zeta function at s=6 and discusses potential extensions for larger s values.
Contribution
It introduces a new explicit formula for a reciprocal sum related to the Riemann zeta function at s=6, with a discussion on computational formulas for higher s.
Findings
Explicit formula for the reciprocal sum at s=6
Open question on computational formulas for larger s
Potential applications in analytic number theory
Abstract
We introduce an explicit formula for a reciprocal sum related to the Riemann zeta function at s=6, and pose one question related to a computational formula for larger values of s.
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Taxonomy
TopicsAdvanced Mathematical Theories · Analytic Number Theory Research · Advanced Mathematical Identities