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- W4300703908 abstract "Let $p>3$ be a prime, and let $q_p(2)=(2^{p-1}-1)/p$ be the Fermat quotient of $p$ to base 2. Recently, Z. H. Sun proved that sum_{k=1}^{p-1}frac{1}{kcdot 2^k}equiv q_p(2)-frac{p}{2}q_p(2)^2 pmod{p^2} which is a generalization of a congruence due to W. Kohnen. In this note we give an elementary proof of the above congruence which is based on several combinatorial identities and congruences involving the Fermat quotient $q_p(2)$, harmonic or alternating harmonic sums." @default.
- W4300703908 created "2022-10-04" @default.
- W4300703908 creator A5072222245 @default.
- W4300703908 date "2011-09-11" @default.
- W4300703908 modified "2023-09-25" @default.
- W4300703908 title "An Extension of a Congruence by Kohnen" @default.
- W4300703908 doi "https://doi.org/10.48550/arxiv.1109.2340" @default.
- W4300703908 hasPublicationYear "2011" @default.
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