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arXiv · 2002.06357

A variation of $q$-Wolstenholme's theorem

Ji-Cai Liu
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Abstract

We investigate a variation of $q$-Wolstenholme's theorem, which extends the $q$-analogue of Wolstenholme's theorem due to Shi and Pan [Amer. Math. Monthly 114 (2007), 529--531]. The proof makes use of the Ramanujan sum and higher order logarithmic derivatives of cyclotomic polynomials.

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Ji-Cai Liu. 2020-02-15. A variation of $q$-Wolstenholme's theorem. https://arxiv.org/abs/2002.06357

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