A mean-square value of the Riemann zeta function over an arithmetic progression

Hirotaka Kobayashi

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arXiv · 2212.06520

A mean-square value of the Riemann zeta function over an arithmetic progression

Hirotaka Kobayashi

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Abstract

We obtain an asymptotic formula for the second discrete moment of the Riemann zeta function over the arithmetic progression $\frac{1}{2} + in$. It shows that the first main term is equal to that of the continuous mean value.

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Hirotaka Kobayashi. 2022-12-13. A mean-square value of the Riemann zeta function over an arithmetic progression. https://arxiv.org/abs/2212.06520

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