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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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Bibliographic Details
Main Author: Andrews, George E.
Format: Artigo
Language:Inglês
Published: 1974
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC434332/
https://ncbi.nlm.nih.gov/pubmed/16592187
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