Infinitely many congruences modulo 5 for 4-colored Frobenius partitions

DOI10.1007/s11139-014-9652-xzbMath1335.05018OpenAlexW2016932302MaRDI QIDQ276623

Michael D. Hirschhorn, James A. Sellers

Publication date: 4 May 2016

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9652-x

zbMATH Keywords

generating functionscongruencestheta functionsgeneralized Frobenius partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (8)

A unified proof of Ramanujan-type congruences modulo 5 for 4-colored generalized Frobenius partitions ⋮ An unexpected Ramanujan-type congruence modulo 7 for 4-colored generalized Frobenius partitions ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ Modular forms and $k$-colored generalized Frobenius partitions ⋮ Arithmetic properties arising from Ramanujan's theta functions ⋮ Some interesting \(q\)-series identities ⋮ Congruences modulo powers of 3 for 3- and 9-colored generalized Frobenius partitions ⋮ Congruences modulo powers of 3 for generalized Frobenius partitions with six colors

Cites Work

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• Congruences for Generalized Frobenius Partitions with an Arbitrarily Large Number of Colors
• An Unexpected Congruence Modulo 5 for 4--Colored Generalized Frobenius Partitions
• NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS
• Ramanujan-type congruences for three colored Frobenius partitions

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