A new derivation of Hermite's integral for the Hurwitz zeta function
Donal F Connon
TL;DR
This paper presents a novel derivation of Hermite's integral for the Hurwitz zeta function, providing an alternative proof to existing formulations.
Contribution
It introduces a new derivation method for Hermite's integral, enhancing understanding of the Hurwitz zeta function's properties.
Findings
New proof of Hermite's integral established
Method offers alternative perspective on Hurwitz zeta function
Potential applications in analytic number theory
Abstract
We obtain another proof of Hermite's integral for the Hurwitz zeta function.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical Inequalities and Applications · Analytic Number Theory Research