Sun's Three Conjectures on Apéry-like Sums Involving Harmonic Numbers

2022/03/08 by Ce Xu, Jian‐Qiang Zhao, Xu, Ce +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2203.04184

openalex publication_date 2022/03/08 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we will give another proof of Zhi-Wei Sun's three conjectures on Apéry-like sums involving harmonic numbers by proving some identities among special values of multiple polylogarithms.

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