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arXiv · 2610.05227

One-level density of zeros of the Riemann zeta function weighted by its special values

Shingo Sugiyama·Ade Irma Suriajaya
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Abstract

We consider the one-level density of zeros of the Riemann zeta function weighted by its special values on the line ${\rm Re}(s)=σ$, where $σ$ is a fixed real number such that $1/2\le σ\le1$. We show that the density function for the Riemann zeta function changes if and only if $σ=1/2$.

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Shingo Sugiyama, Ade Irma Suriajaya. 2026-10-04. One-level density of zeros of the Riemann zeta function weighted by its special values. https://arxiv.org/abs/2610.05227

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