On rational matrix exact covering systems of \(\mathbb{Z}^n\) and its applications to Ramanujan's forty identities

DOI10.1016/j.jmaa.2016.08.051zbMath1351.11071OpenAlexW2516275768MaRDI QIDQ321771

Zhu Cao, Yong Hu

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.051

zbMATH Keywords

\(q\)-seriestheta functionscovering systemsRogers-Ramanujan functions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Canonical forms, reductions, classification (15A21) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• On modular relations for the Göllnitz-Gordon functions with application to partitions
• New modular relations for the Göllnitz-Gordon functions.
• On congruence in \(\mathbb{Z}^ n\) and the dimension of a multidimensional circulant
• Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• Septic analogues of the Rogers–Ramanujan functions
• Ramanujan’s forty identities for the Rogers-Ramanujan functions

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