On recursions for coefficients of mock theta functions

被引：1

作者：

Chan S.H. ^{[1
]}

Mao R. ^{[2
]}

Osburn R. ^{[3
,4
]}

机构：

[1] Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang link, Singapore

[2] School of Mathematical Sciences, Soochow University, SuZhou, 215006, PR

[3] School of Mathematics and Statistics, University College Dublin, Dublin 4, Belfield

[4] IHÉS, Le Bois-Marie, 35, route de Chartres, Bures-sur-Yvette

来源：

Research in Number Theory | / 1卷 / 1期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Lambert series; Mock theta functions; q-series identities;

D O I：

10.1007/s40993-015-0030-6

中图分类号：

学科分类号：

摘要：

Abstract: We use a generalized Lambert series identity due to the first author to present q-series proofs of recent results of Imamoğlu, Raum and Richter concerning recursive formulas for the coefficients of two 3rd order mock theta functions. Additionally, we discuss an application of this identity to other mock theta functions. Mathematics Subject Classification: Primary: 33D15; Secondary: 11F30. © 2015, The Author(s).

引用

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