Partitions with initial repetitions

George E. Andrews

doi:10.1007/s10114-009-6292-y

Partitions with initial repetitions

George E. Andrews

Mathematics

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

9 Scopus citations

Abstract

A variety of interesting connections with modular forms, mock theta functions and Rogers-Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers-Selberg identities and Bailey's modulus 9 identities.

Original language	English (US)
Pages (from-to)	1437-1442
Number of pages	6
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	9
DOIs	https://doi.org/10.1007/s10114-009-6292-y
State	Published - Sep 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1007/s10114-009-6292-y

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title = "Partitions with initial repetitions",

abstract = "A variety of interesting connections with modular forms, mock theta functions and Rogers-Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers-Selberg identities and Bailey's modulus 9 identities.",

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note = "Funding Information: Received May 31, 2006, Accepted September 27, 2008 Supported by National Science Foundation Grant DMS 0457003",

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N2 - A variety of interesting connections with modular forms, mock theta functions and Rogers-Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers-Selberg identities and Bailey's modulus 9 identities.

AB - A variety of interesting connections with modular forms, mock theta functions and Rogers-Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers-Selberg identities and Bailey's modulus 9 identities.

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JF - Acta Mathematica Sinica, English Series

SN - 1439-8516

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ER -

Partitions with initial repetitions

Abstract

All Science Journal Classification (ASJC) codes

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