The Bailey transform and false theta functions

George E. Andrews; S. Ole Warnaar

doi:10.1007/s11139-006-9006-4

The Bailey transform and false theta functions

George E. Andrews
, S. Ole Warnaar

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

An empirical exploration of five of Ramanujan's intriguing false theta function identities leads to unexpected instances of Bailey's transform which, in turn, lead to many new identities for both false and partial theta functions.

Original language	English (US)
Pages (from-to)	173-188
Number of pages	16
Journal	Ramanujan Journal
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11139-006-9006-4
State	Published - Aug 2007

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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title = "The Bailey transform and false theta functions",

abstract = "An empirical exploration of five of Ramanujan's intriguing false theta function identities leads to unexpected instances of Bailey's transform which, in turn, lead to many new identities for both false and partial theta functions.",

author = "Andrews, \{George E.\} and Warnaar, \{S. Ole\}",

note = "Funding Information: ∗Partially supported by National Science Foundation Grant DMS 0457003. Funding Information: †Supported by the Australian Research Council.",

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AU - Warnaar, S. Ole

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The Bailey transform and false theta functions

Abstract

All Science Journal Classification (ASJC) codes

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