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One-level density of zeros of the Riemann zeta function weighted by its special values
Abstract
We consider the one-level density of zeros of the Riemann zeta function weighted by its special values on the line Re(s)=σ, where σ is a fixed real number such that 1/2≤ σ≤1. We show that the density function for the Riemann zeta function changes if and only if σ=1/2.
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BibTeX
@misc{sugiyama2026onelevel,
title = {{One-level density of zeros of the Riemann zeta function weighted by its special values}},
author = {Shingo Sugiyama and Ade Irma Suriajaya},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05227},
eprint = {2610.05227},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05227},
}
RIS
TY - UNPB
TI - One-level density of zeros of the Riemann zeta function weighted by its special values
AU - Shingo Sugiyama
AU - Ade Irma Suriajaya
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05227
UR - https://arxiv.org/abs/2610.05227
AB - We consider the one-level density of zeros of the Riemann zeta function weighted by its special values on the line Re(s)=σ, where σ is a fixed real number such that 1/2≤ σ≤1. We show that the density function for the Riemann zeta function changes if and only if σ=1/2.
ER -