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.

引用

页码：295 / 306

页数：12

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