Some further q-series identities related to divisor functions

被引：13
|
作者：
Guo, Victor J. W. [1 ]
Zhang, Cai [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
RAMANUJAN JOURNAL | 2011年 / 25卷 / 03期
基金：
美国国家科学基金会;
关键词：
Prodinger's identity; Dilcher's identity; Lagrange interpolation; l'Hopital's rule;
D O I：
10.1007/s11139-011-9308-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give new generalizations of some q-series identities of Dilcher and Prodinger related to divisor functions. Some interesting special cases are also deduced, including an identity related to overpartitions studied by Corteel and Lovejoy.
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页码：295 / 306
页数：12
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