A q-analogue of Wolstenholme's harmonic series congruence
Ling-Ling Shi, Hao Pan
TL;DR
This paper introduces a q-analogue of Wolstenholme's harmonic series congruence, extending classical number theory results into the q-analogue framework.
Contribution
It provides the first known q-analogue of Wolstenholme's harmonic series congruence, bridging classical and q-analogue number theory.
Findings
Established a q-analogue of Wolstenholme's congruence
Extended classical harmonic series results into q-framework
Potential implications for q-series and modular forms
Abstract
We establish a q-analogue of Wolstenholme's harmonic series congruence.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Mathematical Inequalities and Applications