Combinatorial proof of a partial theta function identity of Warnaar

DOI10.1142/S1793042116500901zbMath1347.11073OpenAlexW2237491526MaRDI QIDQ2816447

Jang Soo Kim, Byungchan Kim, Kathy Qing Ji

Publication date: 22 August 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116500901

zbMATH Keywords

partition\(q\)-identitypartial theta functionoverpartitioncombinatorial proofunimodal sequence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (1)

On the Andrews-Warnaar identities for partial theta functions

Cites Work

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• Negative index Jacobi forms and quantum modular forms
• Combinatorial telescoping for an identity of Andrews on parity in partitions
• On the asymptotic behavior of unimodal rank generating functions
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity

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