On the von Staudt–Clausen’s theorem associated with q-Genocchi numbers

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摘要

Recently, the von Staudt–Clausen’s theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt–Clausen’s theorem for q-Genocchi numbers and also get the Kummer-type congruence for q-Genocchi numbers.

论文关键词:Genocchi numbers and polynomials,q-Genocchi numbers,von Staudt–Clausen’s theorem,Kummer congruence

论文评审过程:Available online 4 October 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.09.053