Rogers-Ramanujan type identities for partitions with attached odd parts

George E. Andrews

doi:10.1023/A:1009719322309

Rogers-Ramanujan type identities for partitions with attached odd parts

George E. Andrews

Mathematics

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

17 Scopus citations

Abstract

In this paper we present a new infinite family of partition identities. The genesis of our work lies in two formulas of Lucy Slater related to the modulus 8. Hirschhorn, Agarwal and Subbarao have previously found intriguing interpretations for Slater's formula, but none has led to an infinite family of results.

Original language	English (US)
Pages (from-to)	91-99
Number of pages	9
Journal	Ramanujan Journal
Volume	1
Issue number	1
DOIs	https://doi.org/10.1023/A:1009719322309
State	Published - 1997

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1023/A:1009719322309

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title = "Rogers-Ramanujan type identities for partitions with attached odd parts",

abstract = "In this paper we present a new infinite family of partition identities. The genesis of our work lies in two formulas of Lucy Slater related to the modulus 8. Hirschhorn, Agarwal and Subbarao have previously found intriguing interpretations for Slater's formula, but none has led to an infinite family of results.",

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

note = "Funding Information: ⁄Partially supported by the National Science Foundation Grant is DMS-8702695-04 and by the Brazilian Agency FAPESP. †Partially supported by FAPESP.",

year = "1997",

doi = "10.1023/A:1009719322309",

language = "English (US)",

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journal = "Ramanujan Journal",

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publisher = "Springer Netherlands",

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AU - Andrews, George E.

N1 - Funding Information: ⁄Partially supported by the National Science Foundation Grant is DMS-8702695-04 and by the Brazilian Agency FAPESP. †Partially supported by FAPESP.

PY - 1997

Y1 - 1997

N2 - In this paper we present a new infinite family of partition identities. The genesis of our work lies in two formulas of Lucy Slater related to the modulus 8. Hirschhorn, Agarwal and Subbarao have previously found intriguing interpretations for Slater's formula, but none has led to an infinite family of results.

AB - In this paper we present a new infinite family of partition identities. The genesis of our work lies in two formulas of Lucy Slater related to the modulus 8. Hirschhorn, Agarwal and Subbarao have previously found intriguing interpretations for Slater's formula, but none has led to an infinite family of results.

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ER -

Rogers-Ramanujan type identities for partitions with attached odd parts

Abstract

All Science Journal Classification (ASJC) codes

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