The reciprocals of tails of the alternating Riemann zeta function

2021/06/18 by Zhonghua Li, Yan Lü, Li, Zhonghua +1
Mathematics · #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Mathematical Inequalities and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2106.10001

openalex publication_date 2021/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give the integer parts of reciprocals of tails of the alternating Riemann zeta function at s=1,2,3,4 by using several new inequalities and elementary method.

Citations

• A reciprocal sum related to the Riemann zeta function at s=6

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