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

Published 18 Apr 2023 in math.CO and math.NT | (2304.09753v1)

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 $\log2/\pi^2$.

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Chuanan Wei

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