A Fundamental Modular Identity and Some Applications

DOI10.2307/2152937zbMath0790.05011OpenAlexW4248129903MaRDI QIDQ3137450

Richard Blecksmith, John Brillhart, Irving Gerst

Publication date: 22 June 1994

Full work available at URL: https://doi.org/10.2307/2152937

zbMATH Keywords

modular function identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Modular and automorphic functions (11F03) Elementary theory of partitions (11P81)

Related Items (6)

Linear quintuple-product identities ⋮ A lattice proof of a modular identity ⋮ Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions ⋮ Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions ⋮ A constructive theory of triple and quintuple product identities of the second degree ⋮ On conjectures of Koike and Somos for modular identities for the Rogers–Ramanujan functions

Cites Work

• Unnamed Item
• Some Infinite Product Identities
• A look back at Ramanujan's Notebooks
• Parity Results for Certain Partition Functions and Identities Similar to Theta Function Identities
• On a Certain (Mod 2) Identity and a Method of Proof by Expansion

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