Partition Inequalities and Applications to Sum-Product Conjectures of Kanade-Russell

zbMath1439.05024arXiv1903.07587MaRDI QIDQ5109326

Walter Bridges

Publication date: 11 May 2020

Full work available at URL: https://arxiv.org/abs/1903.07587

zbMATH Keywords

Roger-Ramanujan identitiesEhrenpreis' problem

Mathematics Subject Classification ID

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

Uses Software

• IdentityFinder

Cites Work

• Unnamed Item
• Ghost series and a motivated proof of the Andrews-Bressoud identities
• On the class of dominant and subordinate products
• Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
• An injection for the Ehrenpreis Rogers-Ramanujan problem
• A motivated proof of Gordon's identities
• Proofs and reductions of various conjectured partition identities of Kanade and Russell
• A motivated proof of the Göllnitz-Gordon-Andrews identities
• Dissecting the Stanley partition function
• Refinements of Some Partition Inequalities
• IdentityFinder and Some New Identities of Rogers–Ramanujan Type
• A Motivated Proof of the Rogers-Ramanujan Identities
• Differences of Partition Functions: The Anti-telescoping Method

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