Ramanujan's 1 ψ 1 summation, Hecke-type double sums, and Appell-Lerch sums

被引：3
|
作者：
Mortenson, Eric [1 ]
机构：
[1] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia
来源：
RAMANUJAN JOURNAL | 2012年 / 29卷 / 1-3期
关键词：
Hecke-type double sums; Appell-Lerch sums; Mock theta functions; Indefinite theta series; MOCK THETA-CONJECTURES; PROOF;
D O I：
10.1007/s11139-012-9379-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use a specialization of Ramanujan's (1) psi (1) summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell-Lerch sums and theta functions.
引用
收藏
页码：121 / 133
页数：13
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