A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook

Hannah E. Burson

doi:10.1007/978-3-030-57050-7_14

A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook

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Abstract

In his lost notebook, Ramanujan listed five identities related to the false theta function: A new combinatorial interpretation and a proof of one of these identities are given. The methods of the proof allow for new multivariate generalizations of this identity. Additionally, the same technique can be used to obtain a combinatorial interpretation of another one of the identities.

Original language	English (US)
Title of host publication	Trends in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	225-234
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-030-57050-7_14
State	Published - 2021
Externally published	Yes

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Keywords

False theta functions
Overpartitions
Partitions

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10.1007/978-3-030-57050-7_14

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A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook

Abstract

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Bibliographical note

Keywords

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