Power mean of the Hurwitz zeta function
A.C.L. Ashton
TL;DR
This paper derives asymptotic formulas for the power mean of the Hurwitz zeta function over large intervals, providing new insights into its average behavior.
Contribution
It introduces new asymptotic formulas for the power mean of the Hurwitz zeta function, advancing understanding of its large-interval behavior.
Findings
Asymptotic formulas for power mean derived
Enhanced understanding of Hurwitz zeta function behavior
Potential applications in analytic number theory
Abstract
In this note we derive asymptotic formulas for power mean of the Hurwitz zeta function over large intervals.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Functional Equations Stability Results