An Unexpected Congruence Modulo 5 for 4--Colored Generalized Frobenius Partitions

zbMath1290.05015arXiv1302.5708MaRDI QIDQ5403824

James A. Sellers

Publication date: 19 March 2014

Full work available at URL: https://arxiv.org/abs/1302.5708

zbMATH Keywords

Jacobi triple product identity

Mathematics Subject Classification ID

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

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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 ⋮ Congruences for generalized Frobenius partitions with 6 colors ⋮ A unified proof of Ramanujan-type congruences modulo 5 for 4-colored generalized Frobenius partitions ⋮ Generalized Frobenius partitions, Motzkin paths, and Jacobi forms ⋮ Generalized Frobenius partitions with 6 colors ⋮ An unexpected Ramanujan-type congruence modulo 7 for 4-colored generalized Frobenius partitions ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS ⋮ Proof of a conjecture of Baruah and Sarmah on generalized Frobenius partitions with 6 colors ⋮ Modular forms and $k$-colored generalized Frobenius partitions ⋮ Congruences modulo powers of 3 for 3- and 9-colored generalized Frobenius partitions ⋮ Congruences modulo powers of 2 for generalized Frobenius partitions with six colors ⋮ Congruences modulo powers of 3 for generalized Frobenius partitions with six colors

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