On Some Theorems of Hirschhorn

DOI10.1081/AGB-120027918zbMath1128.11045MaRDI QIDQ3154479

Stefano Capparelli

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

affine Lie algebraspartition congruencesEuler's theoremSlater identitystandard modules of level 7

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partitions; congruences and congruential restrictions (11P83)

Related Items (4)

On \(q\)-series for principal characters of standard \(A_2^{( 2 )}\)-modules ⋮ Ramanujan-Slater type identities related to the moduli 18 and 24 ⋮ Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type ⋮ Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$

Cites Work

• Some partition theorems of the Rogers-Ramanujan type
• Further Theorems of the Rogers-Ramanujan Type Theorems^*
• Further Identities of the Rogers-Ramanujan Type

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