Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan

Bruce C. Berndt

doi:10.1007/s00026-007-0309-y

Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan

Bruce C. Berndt

Mathematics

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

Abstract

We show that certain modular equations studied by Schröoter, Russell, and Ramanujan yield elegant identities for colored partitions.

Original language	English (US)
Pages (from-to)	115-125
Number of pages	11
Journal	Annals of Combinatorics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s00026-007-0309-y
State	Published - Aug 2007

Keywords

Colored partitions
Modular equations
Partitions
Theta-functions

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Online availability

10.1007/s00026-007-0309-y

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title = "Partition-theoretic interpretations of certain modular equations of Schr{\"o}ter, Russell, and Ramanujan",

abstract = "We show that certain modular equations studied by Schr{\"o}oter, Russell, and Ramanujan yield elegant identities for colored partitions.",

keywords = "Colored partitions, Modular equations, Partitions, Theta-functions",

author = "Berndt, {Bruce C.}",

note = "Funding Information: ∗ Research partially supported by grant MDA904-00-1-0015 from the National Security Agency.",

year = "2007",

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AU - Berndt, Bruce C.

N1 - Funding Information: ∗ Research partially supported by grant MDA904-00-1-0015 from the National Security Agency.

PY - 2007/8

Y1 - 2007/8

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AB - We show that certain modular equations studied by Schröoter, Russell, and Ramanujan yield elegant identities for colored partitions.

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KW - Modular equations

KW - Partitions

KW - Theta-functions

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Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan

Abstract

Keywords

ASJC Scopus subject areas

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