Ramanujan's "Lost" Notebook VIII: The entire Rogers-Ramanujan function

George E. Andrews

doi:10.1016/j.aim.2004.03.012

Ramanujan's "Lost" Notebook VIII: The entire Rogers-Ramanujan function

George E. Andrews

Mathematics

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

15 Scopus citations

Abstract

In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes-Wigert polynomials.

Original language	English (US)
Pages (from-to)	393-407
Number of pages	15
Journal	Advances in Mathematics
Volume	191
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2004.03.012
State	Published - Mar 1 2005

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2004.03.012

Cite this

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title = "Ramanujan's {"}Lost{"} Notebook VIII: The entire Rogers-Ramanujan function",

abstract = "In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes-Wigert polynomials.",

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

note = "Funding Information: \$Partially supported by National Science Foundation Grant DMS-0200047. *Fax: +1-814-865-3735. E-mail address: [email protected].",

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doi = "10.1016/j.aim.2004.03.012",

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AU - Andrews, George E.

N1 - Funding Information: $Partially supported by National Science Foundation Grant DMS-0200047. *Fax: +1-814-865-3735. E-mail address: [email protected].

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N2 - In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes-Wigert polynomials.

AB - In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes-Wigert polynomials.

UR - https://www.scopus.com/pages/publications/6944229418

UR - https://www.scopus.com/pages/publications/6944229418#tab=citedBy

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DO - 10.1016/j.aim.2004.03.012

M3 - Article

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JO - Advances in Mathematics

JF - Advances in Mathematics

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Ramanujan's "Lost" Notebook VIII: The entire Rogers-Ramanujan function

Abstract

All Science Journal Classification (ASJC) codes

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