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Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (Online) 2616-4906 (Print)
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  • Research article

Sun’s six conjectures on Apéry-like sums involving ordinary harmonic numbers

Author(s): Parth Chavan1, Sarth Chavan1
1Euler Circle, Palo Alto, CA 94306, USA.
Copyright © Parth Chavan, Sarth Chavan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 29/04/2023
  • Accepted: 11/08/2023
  • Published: 27/12/2023

Abstract

>The main goal of this brief article is to provide an elementary proof of Sun’s six conjectures on Apéry-like sums involving ordinary harmonic numbers.

Keywords: Riemann zeta function; Catalans constant; Apéry-like sums; Harmonic numbers; Polylogarithm function; Polygamma function; Logarithmic integrals; Clausen function.
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