On generalizations of partition theorems of Schur and Andrews to overpartitions

DOI10.1007/s11139-013-9532-9zbMath1307.11106OpenAlexW2033488792MaRDI QIDQ486594

Jehanne Dousse

Publication date: 16 January 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-013-9532-9

zbMATH Keywords

generating functionsinteger partitionsoverpartitionsrecurrencesAndrewsSchur

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

A generalisation of a partition theorem of Andrews ⋮ On a Rogers-Ramanujan type identity from crystal base theory ⋮ Weighted words at degree two. I: Bressoud's algorithm as an energy transfer ⋮ A combinatorial proof and refinement of a partition identity of Siladić ⋮ Andrews-Gordon type series for Schur's partition identity ⋮ A generalisation of a second partition theorem of Andrews to overpartitions ⋮ A variant of \texttt{IdentityFinder} and some new identities of Rogers-Ramanujan-MacMahon type

Cites Work

• Unnamed Item
• Unnamed Item
• A combinatorial proof of a refinement of the Andrews-Olsson partition identity
• Generalizations of Schur's partition theorem
• On a theorem of Schur and Gleissberg
• A Combinatorial Proof of Schur's 1926 Partition Theorem
• On Partition Functions Related to Schur's Second Partition Theorem
• A new generalization of Schur's second partition theorem
• A General Theorem on Partitions with Difference Conditions
• On Schur's second partition theorem
• A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS

This page was built for publication: On generalizations of partition theorems of Schur and Andrews to overpartitions