Combinatorial proofs of generating function identities for F-partitions

DOI10.1016/S0097-3165(03)00023-2zbMath1017.05019MaRDI QIDQ1873828

Ae Ja Yee

Publication date: 27 May 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

Frobenius partitionsF-partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (11)

A combinatorial proof of a Schmidt type theorem of Andrews and Paule ⋮ On certain weighted 7-colored partitions ⋮ A partition statistic for partitions with even parts distinct ⋮ Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation. ⋮ On the number of l-regular overpartitions ⋮ Enumeration of partitions with prescribed successive rank parity blocks ⋮ Unnamed Item ⋮ Singular overpartitions and partitions with prescribed hook differences ⋮ A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity ⋮ On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity ⋮ Combinatorial proofs of the Ramanujan type congruences modulo \(3\)

Cites Work

• A combinatorial view of Andrews' proof of the L-M-W conjectures
• Generalized Frobenius partitions
• An Enumerative Proof of An Identity of Jacobi
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• Two Enumerative Proofs of an Identity of Jacobi
• Vector Partitions and Combinatorial Identities

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