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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages225-234
Number of pages10
DOIs
StatePublished - 2021
Externally publishedYes

Publication series

NameTrends 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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