NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS

DOI10.1142/S1793042113501133zbMath1285.05011MaRDI QIDQ5408829

Bernard L. S. Lin

Publication date: 11 April 2014

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

zbMATH Keywords

Frobenius partitionsRamanujan type congruence

Mathematics Subject Classification ID

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

Related Items (14)

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

Cites Work

• The Andrews-Sellers family of partition congruences
• 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
• Ramanujan-type congruences for three colored Frobenius partitions

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