TL;DR
This paper derives upper bounds for the moments of zeta sums by leveraging shifted moments of the Riemann zeta function, assuming the Riemann hypothesis, advancing understanding of zeta function behavior.
Contribution
It introduces new upper bounds for zeta sum moments based on shifted zeta function moments under the Riemann hypothesis, providing tighter estimates.
Findings
Established upper bounds for zeta sum moments.
Connected zeta sum moments to shifted zeta function moments.
Assumed Riemann hypothesis for deriving bounds.
Abstract
We establish upper bounds for moments of zeta sums using results on shifted moments of the Riemann zeta function under the Riemann hypothesis.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Graph theory and applications