Borweins' cubic theta functions revisited

DOI10.1007/s11139-021-00503-xzbMath1501.33008OpenAlexW3203444516MaRDI QIDQ2070377

Heng Huat Chan, Liuquan Wang

Publication date: 24 January 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00503-x

zbMATH Keywords

sum of squarescore partitionscubic theta functionsJacobi triple product

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82) Elliptic functions and integrals (33E05)

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Cites Work

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• On the quaternary form x2 + xy + 7y2 + z2 + zt + 7t2
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• A Cubic Counterpart of Jacobi's Identity and the AGM
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• Some results on $3$-cores