On some conjectures of Z.-W. Sun involving harmonic numbers

2023/04/18 by Wei, Chuanan
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2304.09753

Abstract

Harmonic numbers are significant in various branches of number theory. With the help of the digamma function, we prove ten conjectural series of Z.-W. Sun involving harmonic numbers. Several ones of them are also series expansions of log2/π².

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