An unexpected Ramanujan-type congruence modulo 7 for 4-colored generalized Frobenius partitions

DOI10.1007/S11139-015-9770-0zbMath1386.05010OpenAlexW2307568333MaRDI QIDQ1688190

Chun Wang, Wenlong Zhang

Publication date: 5 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-015-9770-0

zbMATH Keywords

quintuple product identitygeneralized Frobenius partitionsRamanujan-type congruenceJacobi's triple product identity

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (9)

Congruences for generalized Frobenius partitions with 6 colors ⋮ Generalized Frobenius partitions, Motzkin paths, and Jacobi forms ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS ⋮ Modular forms and $k$-colored generalized Frobenius partitions ⋮ Congruences modulo powers of 3 for 3- and 9-colored generalized Frobenius partitions ⋮ Congruences for the reciprocals of the Ramanujan–Gordon identities ⋮ Congruences modulo powers of 2 for generalized Frobenius partitions with six colors ⋮ Congruences modulo powers of 3 for generalized Frobenius partitions with six colors

Cites Work

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• A Ramanujan-type congruence modulo 5 for 4-colored generalized Frobenius partitions
• Infinitely many congruences modulo 5 for 4-colored Frobenius partitions
• The Andrews-Sellers family of partition congruences
• Proof of a conjecture of Baruah and Sarmah on generalized Frobenius partitions with 6 colors
• Generalized Frobenius partitions with 6 colors
• An extension of a congruence by Andrews for generalized Frobenius partitions
• Congruences involving generalized Frobenius partitions
• New congruences for generalized Frobenius partitions with two or three colors
• Computational proofs of congruences for \(2\)-colored Frobenius partitions
• Congruences for Frobenius partitions
• Congruences for generalized Frobenius partitions with 4 colors
• Generalized Frobenius partitions
• 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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