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arXiv · 2510.14309

Explicit extreme values of the argument of the Riemann zeta-function

Shōta Inoue·Hirotaka Kobayashi·Yuichiro Toma
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Abstract

We investigate explicit extreme values of the argument of the Riemann zeta-function in short intervals. As an application, we improve the result of Conrey and Turnage-Butterbaugh concerning $r$-gaps between zeros of the Riemann zeta-function.

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Shōta Inoue, Hirotaka Kobayashi, Yuichiro Toma. 2025-10-16. Explicit extreme values of the argument of the Riemann zeta-function. https://arxiv.org/abs/2510.14309

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