Effective Upper Bound Estimates for $|\zeta'(1/2+it)|$ via Exponential Sums
Number Theory
2025-10-03 v1
Abstract
In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of . Different effective upper bounds can be obtained by choosing different parameters.
Cite
@article{arxiv.2510.02041,
title = {Effective Upper Bound Estimates for $|\zeta'(1/2+it)|$ via Exponential Sums},
author = {Ting Liu and Jinjin Ma and Binjie Chang and Xinhua Xiong},
journal= {arXiv preprint arXiv:2510.02041},
year = {2025}
}
Comments
v1, 13 pages