Partition identities arising from theta function identities

Nayandeep Deka Baruah; Bruce C. Berndt

doi:10.1007/s10114-007-0960-6

Partition identities arising from theta function identities

Nayandeep Deka Baruah, Bruce C. Berndt

Mathematics

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

Abstract

The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.

Original language	English (US)
Pages (from-to)	955-970
Number of pages	16
Journal	Acta Mathematica Sinica, English Series
Volume	24
Issue number	6
DOIs	https://doi.org/10.1007/s10114-007-0960-6
State	Published - Jun 2008

Keywords

Colored partitions
Modular equations
Partition identities
Partitions
Theta function identities

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1007/s10114-007-0960-6

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title = "Partition identities arising from theta function identities",

abstract = "The authors show that certain theta function identities of Schr{\"o}ter and Ramanujan imply elegant partition identities.",

keywords = "Colored partitions, Modular equations, Partition identities, Partitions, Theta function identities",

author = "Baruah, {Nayandeep Deka} and Berndt, {Bruce C.}",

note = "Funding Information: Received August 31, 2006, Accepted February 28, 2007 1) Research partly supported by BOYSCAST Fellowship Grant SR/BY/M-03/05 from DST, Government of India 2) Research partly supported by NSA Grant MSPF-03IG-124",

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AU - Berndt, Bruce C.

N1 - Funding Information: Received August 31, 2006, Accepted February 28, 2007 1) Research partly supported by BOYSCAST Fellowship Grant SR/BY/M-03/05 from DST, Government of India 2) Research partly supported by NSA Grant MSPF-03IG-124

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KW - Modular equations

KW - Partition identities

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KW - Theta function identities

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Partition identities arising from theta function identities

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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