On zeros of the Riemann zeta function

2021/01/23 by Xiaolong Wu, Wu, Xiaolong
Mathematics · #11M06 #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Meromorphic and Entire Functions #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2102.00822

openalex publication_date 2021/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper shows that, in the critical strip, the Riemann zeta function ζ(s) have the same set of zeros as F(s):=∫₀^∞ t^s-1(e^t+1)^-1dt, and then discusses the behavior of F(s).

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