Some formulae for coefficients in restricted \(q\)-products

DOI10.1016/J.JNT.2020.09.008zbMath1456.11196arXiv2005.01067OpenAlexW3094584259MaRDI QIDQ2212634

Ankush Goswami, Venkata Raghu Tej Pantangi

Publication date: 24 November 2020

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

Full work available at URL: https://arxiv.org/abs/2005.01067

zbMATH Keywords

partition\(q\)-seriessievemultinomial\(q\)-product\(q\)-binomial

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (1)

The restricted partition and \(q\)-partial fractions

Cites Work

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• The truncated pentagonal number theorem
• A new sieve for distinct coordinate counting
• Hecke modular forms and q-Hermite polynomials
• An involution for Jacobi's identity
• The vanishing of Ramanujan's function \(\tau(n)\)
• Missed opportunities
• Hecke Modular Forms and the KAC-Peterson Identities
• Euler's Pentagonal Number Theorem
• Affine Lie algebras and Hecke modular forms
• AN ESTIMATE FOR A RESTRICTED PARTITION FUNCTION
• PROOF OF A CONJECTURE OF SUDLER'S
• Two Algebraic Identities and the Unboundedness of a Restricted Partition Function

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