The Rogers-Ramanujan identities without Jacobi’s triple product

George E. Andrews

doi:10.1216/RMJ-1987-17-4-659

The Rogers-Ramanujan identities without Jacobi’s triple product

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We provide polynomial identities which converge to the Rogers-Ramanujan identities. These identities naturally involve the partial products for the related infiniteproducts. Hence Jacobi’s triple product identity is never required.

Original language	English (US)
Pages (from-to)	659-672
Number of pages	14
Journal	Rocky Mountain Journal of Mathematics
Volume	17
Issue number	4
DOIs	https://doi.org/10.1216/RMJ-1987-17-4-659
State	Published - 1987

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1216/RMJ-1987-17-4-659

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title = "The Rogers-Ramanujan identities without Jacobi{\textquoteright}s triple product",

abstract = "We provide polynomial identities which converge to the Rogers-Ramanujan identities. These identities naturally involve the partial products for the related infiniteproducts. Hence Jacobi{\textquoteright}s triple product identity is never required.",

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year = "1987",

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AU - Andrews, George E.

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The Rogers-Ramanujan identities without Jacobi’s triple product

Abstract

All Science Journal Classification (ASJC) codes

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