Year: 2023
Type: preprint
Abstract: In this article, we investigate the behaviour of values of zeta sums $\sum_{n\le x}n^{it}$ 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 $\sum_{n\le x}χ(n)$.
Source: arXiv (Cornell University)
Authors: Dong, Zikang, Wang, Weijia, Zhang, Hao
Institution: Tongji University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G4528900933
OpenAlex ID: W4387928394