Schur's Partition Theorem, Companions, Refinements and Generalizations

DOI10.2307/2154961zbMath0830.05004OpenAlexW4229908617MaRDI QIDQ4846083

Krishnaswami Alladi, Basil Gordon

Publication date: 26 September 1995

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154961

zbMATH Keywords

generating functionnumber of partitionsmethod of weighted wordsSchur's partition theoremcompanion partition functionsparameter refinement

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (15)

Linked partition ideals and the Alladi-Schur theorem ⋮ An iterative-bijective approach to generalizations of Schur's theorem ⋮ Interview with George E. Andrews ⋮ Identities for overpartitions with even smallest parts ⋮ Partition bijections, a survey ⋮ Separable integer partition classes ⋮ Linked partition ideals and Andrews-Gordon type series for Alladi and Gordon's extension of Schur's identity ⋮ Multi-sum Rogers-Ramanujan type identities ⋮ Siladić’s theorem: Weighted words, refinement and companion ⋮ Andrews-Gordon type series for Schur's partition identity ⋮ The method of weighted words revisited ⋮ The dual of Göllnitz's (big) partition theorem ⋮ A bijective proof of the Alladi-Andrews-Gordon partition theorem ⋮ Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg's overpartition theorems ⋮ On the work of Basil Gordon

This page was built for publication: Schur's Partition Theorem, Companions, Refinements and Generalizations