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arXiv · 2510.02041

Effective Upper Bound Estimates for $|\zeta'(1/2+it)|$ via Exponential Sums

Ting Liu·Jinjin Ma·Binjie Chang·Xinhua Xiong
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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.

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Ting Liu, Jinjin Ma, Binjie Chang, Xinhua Xiong. 2025-10-02. Effective Upper Bound Estimates for $|\zeta'(1/2+it)|$ via Exponential Sums. https://arxiv.org/abs/2510.02041

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