Mean values of the Riemann zeta function at shifted zeros under the Riemann Hypothesis

2025/12/02 by Ramūnas Garunkštis, Garunkštis, Ramūnas, Julija Paliulionytė +1
Mathematics · #11M06 #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2512.03297

openalex publication_date 2025/12/02 · openalex created_date 2025/12/05 · openalex updated_date 2026/07/28

Abstract

Assuming the Riemann hypothesis, we obtain asymptotic formulas for ∑_0<γ

Citations

• A discrete mean value of the Riemann zeta function

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