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

Access to Document

10.1216/RMJ-1987-17-4-659

Cite this

@article{9188a2f0045045e68f1bb9f704c1adbb,

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.",

author = "Andrews, \{George E.\}",

year = "1987",

doi = "10.1216/RMJ-1987-17-4-659",

language = "English (US)",

volume = "17",

pages = "659--672",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "4",

}

TY - JOUR

T1 - The Rogers-Ramanujan identities without Jacobi’s triple product

AU - Andrews, George E.

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0347255290

UR - https://www.scopus.com/inward/citedby.url?scp=0347255290&partnerID=8YFLogxK

U2 - 10.1216/RMJ-1987-17-4-659

DO - 10.1216/RMJ-1987-17-4-659

M3 - Article

AN - SCOPUS:0347255290

SN - 0035-7596

VL - 17

SP - 659

EP - 672

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 4

ER -

The Rogers-Ramanujan identities without Jacobi’s triple product

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this