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

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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

源语言	英语
页（从-至）	47-63
页数	17
期刊	Journal of Number Theory
卷	278
DOI	https://doi.org/10.1016/j.jnt.2025.04.002
出版状态	已出版 - 1月 2026

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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",

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AB - 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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SN - 0022-314X

VL - 278

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JO - Journal of Number Theory

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Upper bounds for moments of zeta sums

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