文章基本信息

标题：A note on the Von Staudt-Clausen’s theorem for the weighted q -Genocchi numbers
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作者：Byung Moon Kim ; Lee-Chae Jang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：4
DOI：10.1186/s13662-014-0340-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：Recently, the Von Staudt-Clausen theorem for q-Euler numbers was introduced by Kim (Russ. J. Math. Phys. 20(1):33-38, 2013) and Araci et al. have also studied this theorem for q-Genocchi numbers (see Araci et al. in Appl. Math. Comput. 247:780-785, 2014) based on the work of Kim et al. In this paper, we give the corresponding Von Staudt-Clausen theorem for the weighted q-Genocchi numbers and also prove the Kummer-type congruences for the generated weighted q-Genocchi numbers.
关键词：Genocchi number ; weighted q -Genocchi number ; weighted q -Euler number ; Von Staudt-Clausen theorem