Generalizations of the Rogers-Ramanujan identities [PDF]
Pacific Journal of Mathematics, 1954 openaire +2 more sources
The Rogers-Ramanujan identities: Lie theoretic interpretation and proof. [PDF]
Proc Natl Acad Sci U S A, 1981 Lepowsky J, Wilson RL.
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A new family of algebras underlying the Rogers-Ramanujan identities and generalizations. [PDF]
Proc Natl Acad Sci U S A, 1981 Lepowsky J, Wilson RL.
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An analytic generalization of the rogers-ramanujan identities for odd moduli. [PDF]
Proc Natl Acad Sci U S A, 1974 Andrews GE.
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A generalization of the Rogers-Ramanujan identities for all moduli
Journal of Combinatorial Theory, Series A, 1979 AbstractThe Rogers-Ramanujan identities have been extended to odd moduli by B. Gordon and to moduli of the form 4k + 2 by G. Andrews. We demonstrate and prove an extension to all even moduli, and provide a theorem which holds for all moduli.
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New proofs of the septic Rogers-Ramanujan identities
We give new proofs of the 12 Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and ...
Rosengren, Hjalmar,
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Partitions with difference conditions and Alder's conjecture. [PDF]
Proc Natl Acad Sci U S A, 2004 Yee AJ.
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New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function. [PDF]
Proc Natl Acad Sci U S A, 1996 Milne SC.
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Lifting cusp forms to Maass forms with an application to partitions. [PDF]
Proc Natl Acad Sci U S A, 2007 Bringmann K, Ono K.
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The hard-hexagon model and Rogers-Ramanujan type identities. [PDF]
Proc Natl Acad Sci U S A, 1981 Andrews GE.
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