Generalized Frobenius partitions with 6 colors

DOI10.1007/s11139-014-9595-2zbMath1325.05026OpenAlexW2053969924MaRDI QIDQ889794

Bipul Kumar Sarmah, Nayandeep Deka Baruah

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9595-2

zbMATH Keywords

generalized Frobenius partitionspartition congruencesinteger matrix exact covering system

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Matrices, determinants in number theory (11C20)

Related Items (11)

A Ramanujan-type congruence modulo 5 for 4-colored generalized Frobenius partitions ⋮ ON THE PARITY OF THE GENERALISED FROBENIUS PARTITION FUNCTIONS ⋮ 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 ⋮ 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 ⋮ 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

• Arithmetic properties of partitions with even parts distinct
• Arithmetic properties of partitions with odd parts distinct
• Computational proofs of congruences for \(2\)-colored Frobenius partitions
• Congruences for Frobenius partitions
• Congruences for generalized Frobenius partitions with 4 colors
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• Generalized Frobenius partitions
• Some Cubic Modular Identities of Ramanujan
• Some results on $3$-cores
• 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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