Systematic Counting of Restricted Partitions

zbMath1458.11145arXiv1910.08989MaRDI QIDQ5148745

Doron Zeilberger, Mingjia Yang

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1910.08989

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Calculation of integer sequences (11Y55)

Uses Software

• IdentityFinder
• NAIVE
• DAVID_IAN
• JODO
• BLANKS
• SYMGJ
• SPGJ
• GJseries
• GJSAW
• GJsqfree
• Compositions

Cites Work

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• Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
• A variant of \texttt{IdentityFinder} and some new identities of Rogers-Ramanujan-MacMahon type
• IdentityFinder and Some New Identities of Rogers–Ramanujan Type
• An Inversion Theorem for Cluster Decompositions of Sequences with Distinguished Subsequences
• The Goulden—Jackson cluster method: extensions, applications and implementations

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