An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
Open Access
- 1 October 1974
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 71 (10) , 4082-4085
- https://doi.org/10.1073/pnas.71.10.4082
Abstract
A (k - 1)-fold Eulerian series expansion is given for II(1 - qn)-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.Keywords
This publication has 0 references indexed in Scilit: