Some new observations on the Göllnitz-Gordon and Rogers-Ramanujan identities
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- by Krishnaswami Alladi PDF
- Trans. Amer. Math. Soc. 347 (1995), 897-914 Request permission
Abstract:
Two new, short and elementary proofs of the Göllnitz-Gordon identities are presented by considering the odd-even split of the Euler Pentagonal Series and the Triangular Series of Gauss. Using this approach the equality of certain shifted partition functions are established. Next, the odd and even parts of the famous Rogers-Ramanujan series are shown to have interesting product representations ($\bmod 80$). From this, new shifted partition identities are derived.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 897-914
- MSC: Primary 11P82; Secondary 05A30, 11B65, 11P81, 33D10
- DOI: https://doi.org/10.1090/S0002-9947-1995-1284910-4
- MathSciNet review: 1284910