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

页码：121 / 133

页数：13