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

Authors :
Wei, Chuanan
Publication Year :
2023

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 $\log2/\pi^2$.

Subjects

Subjects :
Mathematics - Combinatorics
Mathematics - Number Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2304.09753
Document Type :
Working Paper

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