Effective Upper Bound Estimates for $|ζ'(1/2+it)|$ via Exponential Sums
Ting Liu, Jinjin Ma, Binjie Chang, Xinhua Xiong
Published: 2025/10/2
Abstract
In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of $|\zeta'(1/2+it)|$. Different effective upper bounds can be obtained by choosing different parameters.