A bijective proof of a false theta function identity from Ramanujan's lost notebook

DOI10.1007/s00026-019-00454-7zbMath1433.05030arXiv1806.04791OpenAlexW3098938869WikidataQ114231907 ScholiaQ114231907MaRDI QIDQ2299122

Hannah Burson

Publication date: 20 February 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04791

zbMATH Keywords

partitionsoverpartitionsfalse theta functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (1)

Combinatorics of two second-order mock theta functions

Cites Work

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• A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• A partial theta identity of Ramanujan and its number-theoretic interpretation
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Integer partitions with even parts below odd parts and the mock theta functions
• New proofs of Ramanujan's identities on false theta functions
• The Bailey transform and false theta functions
• COMBINATORIAL PROOFS OF CERTAIN IDENTITIES INVOLVING PARTIAL THETA FUNCTIONS
• BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS

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