Work

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

Year: 2026

Type: preprint

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 $σ=1/2$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05227

Authors: Sugiyama, Shingo, Suriajaya, Ade Irma

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Zeros of zeta functions and L-functions, and their relations to Goldbach's problem

OpenAlex ID: W7220679644

Cites:

Cited by: 1

Related to: 10