Lower bounds for moments of the derivative of the Riemann zeta function

2021/08/30 by Peng Gao, Gao, Peng
Mathematics · #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.2108.13116

openalex publication_date 2021/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish in this paper sharp lower bounds for the 2k-th moment of the derivative of the Riemann zeta function on the critical line for all real k ≥ 0.

Citations

• Integral moments of L-functions
• Lower bounds for moments of zeta and L-functions revisited

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