Large zeta sums

2023/10/20 by Zikang Dong, Weijia Wang, Dong, Zikang +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2310.13383

openalex publication_date 2023/10/20 · openalex created_date 2023/10/25 · openalex updated_date 2026/07/28

Abstract

In this article, we investigate the behaviour of values of zeta sums ∑_{n≤ x}n^it when t is large. We show some asymptotic behaviour and Omega results of zeta sums, which are analogous to previous results of large character sums ∑_{n≤ x}χ(n).

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