A congruence for a double harmonic sum
Year: 2025
Type: article
Abstract: In this short note, our primary purpose is to prove the congruence \[\sum_{k=1}^{\frac{p-1}{2}} \frac{(-1)^k}{k} \sum_{j=\lfloor\frac{k}{2}\rfloor+1}^{k} \frac{1}{2j-1} \equiv 0 \mod p\] Along the way, a number of auxiliary results of independent interest are found.
DOI: 10.71712/072m-gf12
Authors: Amdeberhan, Tewodros, Tauraso, Roberto
Institutions: Tulane University, University of Rome Tor Vergata
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7080872982
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