M-order generalized Frobenius partitions with M colors

DOI10.1016/0022-314X(91)90050-LzbMath0734.11052OpenAlexW1984178188MaRDI QIDQ810574

Louis Worthy Kolitsch

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90050-l

zbMATH Keywords

generating functiongeneralized Frobenius partitionsHardy-Ramanujan- Rademacher expansion

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (10)

N-colored generalized Frobenius partitions: generalized Kolitsch identities ⋮ New congruences for generalized Frobenius partitions with two or three colors ⋮ SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION ⋮ Recurrences for 2-colored and 3-colored F-partitions ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ On the Ramanujan-type function \(k(q) = \chi (q) \chi (-q^2)\) ⋮ Congruence properties for a certain kind of partition functions ⋮ Modular forms and $k$-colored generalized Frobenius partitions ⋮ Congruences for generalized Frobenius partitions with 4 colors ⋮ Congruences for modular forms and generalized Frobenius partitions

Cites Work

• A simple proof of some congruences for colored generalized Frobenius partitions
• An extension of a congruence by Andrews for generalized Frobenius partitions
• A relationship between certain colored generalized Frobenius partitions and ordinary partitions
• Cranks and t-cores
• Generalized Frobenius partitions
• On the Geometry of Numbers in Elementary Number Theory

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