A summation by Gencev

TL;DR

This paper discusses a potential proof approach for a closed-form summation involving harmonic numbers and central binomial numbers, utilizing the dilogarithm function.

Contribution

It proposes a new method to prove a recently reported summation formula using the dilogarithm function.

Findings

Suggests a possible proof approach involving the dilogarithm function

Highlights the connection between harmonic numbers, binomial numbers, and special functions

Provides insights into summation techniques for series involving harmonic and binomial numbers

Abstract

Gencev has recently reported a closed form summation for an infinite series involving the harmonic numbers and the central binomial numbers. This note indicates a possible approach to the proof involving the dilogarithm function.