论文标题
$ Q $ -Wolstenholme的定理变体
A variation of $q$-Wolstenholme's theorem
论文作者
论文摘要
我们调查了$ Q $ -Wolstenholme的定理的变体,该定理扩展了由于Shi和Pan [Amer而言,沃尔斯滕霍尔姆定理的$ q $ analogue。数学。每月114(2007),529--531]。该证明利用了ramanujan和cylthmic多项式的高阶对数衍生物。
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.