New weighted Rogers-Ramanujan partition theorems and their implications

DOI10.1090/S0002-9947-02-02977-XzbMath1074.11058arXivmath/0009171OpenAlexW1924706412MaRDI QIDQ2782653

Alexander Berkovich, Krishnaswami Alladi

Publication date: 8 April 2002

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

Full work available at URL: https://arxiv.org/abs/math/0009171

zbMATH Keywords

Jacobi triple product identitySylvester's theoremsuccessive ranksRogers-Ramanujan partitionsweighted partition identitiesmethod of weighted wordsGöllnitz theorem

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (5)

New polynomial analogues of Jacobi's triple product and Lebesgue's identities ⋮ Variation on a theme of Nathan Fine. New weighted partition identities ⋮ Weighted Rogers-Ramanujan partitions and Dyson crank ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications ⋮ Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities

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• A NOTE ON RANKS AND CONJUGACY OF PARTITIONS
• Partitionen mit Differenzenbedingungen.
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• Some Properties of Partitions

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