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Hurwitz-Lerch type central binomial series

2024/09/24 by Ikeda, Karin, Yuta Kadono, Kadono, Yuta
Computer Science · Mathematics · #11B68 #33C20 #Advanced Mathematical Identities #Coding theory and cryptography #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2409.16026

openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The central binomial series is a subject that has been extensively studied, for example in the context of the irrationality of Riemann zeta values. In this paper, the Hurwitz version of the central binomial series is defined by adding one real parameter, and its values at integer points are studied.

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