A variation of $q$-Wolstenholme's theorem
Number Theory
2020-02-18 v1
Abstract
We investigate a variation of -Wolstenholme's theorem, which extends the -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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Cite
@article{arxiv.2002.06357,
title = {A variation of $q$-Wolstenholme's theorem},
author = {Ji-Cai Liu},
journal= {arXiv preprint arXiv:2002.06357},
year = {2020}
}
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8 pages