Upper bounds for moments of zeta sums

Peng Gao

doi:10.1016/j.jnt.2025.04.002

Upper bounds for moments of zeta sums

Peng Gao

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We establish upper bounds for moments of zeta sums using results on shifted moments of the Riemann zeta function under the Riemann hypothesis.

Original language	English
Pages (from-to)	47-63
Number of pages	17
Journal	Journal of Number Theory
Volume	278
DOIs	https://doi.org/10.1016/j.jnt.2025.04.002
State	Published - Jan 2026

Keywords

Moments
Zeta sums

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10.1016/j.jnt.2025.04.002

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title = "Upper bounds for moments of zeta sums",

abstract = "We establish upper bounds for moments of zeta sums using results on shifted moments of the Riemann zeta function under the Riemann hypothesis.",

keywords = "Moments, Zeta sums",

author = "Peng Gao",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2026",

month = jan,

doi = "10.1016/j.jnt.2025.04.002",

language = "英语",

volume = "278",

pages = "47--63",

journal = "Journal of Number Theory",

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AU - Gao, Peng

PY - 2026/1

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N2 - We establish upper bounds for moments of zeta sums using results on shifted moments of the Riemann zeta function under the Riemann hypothesis.

AB - We establish upper bounds for moments of zeta sums using results on shifted moments of the Riemann zeta function under the Riemann hypothesis.

KW - Moments

KW - Zeta sums

UR - https://www.scopus.com/pages/publications/105007543017

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DO - 10.1016/j.jnt.2025.04.002

M3 - 文章

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SN - 0022-314X

VL - 278

SP - 47

EP - 63

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Upper bounds for moments of zeta sums

Abstract

Keywords

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