Bijective proofs of partition identities arising from modular equations

Sun Kim

doi:10.1016/j.jcta.2008.11.002

Bijective proofs of partition identities arising from modular equations

Sun Kim^*

^*Corresponding author for this work

Department of Mathematics

University of Illinois at Urbana-Champaign

Research output: Contribution to journal › Journal article › peer-review

11 Scopus citations

Abstract

We establish generalizations of certain partition theorems originating with modular equations and give bijective proofs for them. As a special case, we give a bijective proof of the Farkas and Kra partition theorem modulo 7.

Original language	English
Pages (from-to)	699-712
Number of pages	14
Journal	Journal of Combinatorial Theory. Series A
Volume	116
Issue number	3
DOIs	https://doi.org/10.1016/j.jcta.2008.11.002
State	Published - 2009.04

Keywords

Modular equations
Partitions
Theta functions

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10.1016/j.jcta.2008.11.002

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title = "Bijective proofs of partition identities arising from modular equations",

abstract = "We establish generalizations of certain partition theorems originating with modular equations and give bijective proofs for them. As a special case, we give a bijective proof of the Farkas and Kra partition theorem modulo 7.",

keywords = "Modular equations, Partitions, Theta functions",

author = "Sun Kim",

year = "2009",

month = apr,

doi = "10.1016/j.jcta.2008.11.002",

language = "English",

volume = "116",

pages = "699--712",

journal = "Journal of Combinatorial Theory. Series A",

issn = "0097-3165",

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T1 - Bijective proofs of partition identities arising from modular equations

AU - Kim, Sun

PY - 2009/4

Y1 - 2009/4

N2 - We establish generalizations of certain partition theorems originating with modular equations and give bijective proofs for them. As a special case, we give a bijective proof of the Farkas and Kra partition theorem modulo 7.

AB - We establish generalizations of certain partition theorems originating with modular equations and give bijective proofs for them. As a special case, we give a bijective proof of the Farkas and Kra partition theorem modulo 7.

KW - Modular equations

KW - Partitions

KW - Theta functions

UR - https://www.scopus.com/pages/publications/60649114667

U2 - 10.1016/j.jcta.2008.11.002

DO - 10.1016/j.jcta.2008.11.002

M3 - Journal article

AN - SCOPUS:60649114667

SN - 0097-3165

VL - 116

SP - 699

EP - 712

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

IS - 3

ER -

Bijective proofs of partition identities arising from modular equations

Abstract

Keywords

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