Chuanan Wei
Published 2023-04-18Version 1
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 $\log2/\pi^2$.
Some possible $q$-generalizations of harmonic numbers
On some class of sums
Prove or Disprove. 100 Conjectures from the OEIS
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