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An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
A (k - 1)-fold Eulerian series expansion is given for II(1 - q(n))(-1), where the product runs over all positive integers n that are not congruent to 0,i or - i modulo 2k + 1. The Rogers-Ramanujan identities are the cases k = i = 2 and k = i + 1 = 2.
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| Published in: | Proc Natl Acad Sci U S A |
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| Main Author: | |
| Format: | Artigo |
| Language: | Inglês |
| Published: |
National Academy of Sciences
1974
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| Subjects: | |
| Online Access: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC434332/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592187/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.71.10.4082 |
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