On three third order mock theta functions and Hecke-type double sums

被引：0

作者：

Eric Mortenson

机构：

[1] The University of Queensland,Department of Mathematics

来源：

The Ramanujan Journal | 2013年 / 30卷

关键词：

Hecke-type double sums; Appell–Lerch sums; Mock theta functions; Indefinite theta series; 11B65; 11F11; 11F27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain four Hecke-type double sums for three of Ramanujan’s third order mock theta functions. We discuss how these four are related to the new mock theta functions of Andrews’ work on q-orthogonal polynomials and Bringmann, Hikami, and Lovejoy’s work on unified Witten–Reshetikhin–Turaev invariants of certain Seifert manifolds. We then prove identities between these new mock theta functions by first expressing them in terms of the universal mock theta function.

引用

页码：279 / 308

页数：29

共 14 条

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