### References & Citations

# Mathematics > Number Theory

# Title: A variation of $q$-Wolstenholme's theorem

(Submitted on 15 Feb 2020)

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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