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arXiv · 2609.18938

An Omega result for partial sums of the Riemann zeta function

Qiyu Yang·Shengbo Zhao
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Abstract

In this paper, we establish an Omega result for partial sums of the Riemann zeta function on the \(1\)-line. Our work relies on the long resonance method and an effective asymptotic formula for smooth numbers. For sufficiently long partial sums, our result approaches the work obtained by Aistleitner, Mahatab and Munsch in 2019.

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Qiyu Yang, Shengbo Zhao. 2026-07-13. An Omega result for partial sums of the Riemann zeta function. https://arxiv.org/abs/2609.18938

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