Identities for 3-core and 5-core partitions

Yoon Kyung Park

doi:10.4134/JKMS.2014.51.2.225

Identities for 3-core and 5-core partitions

Yoon Kyung Park

School of Natural Sciences

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

1 Scopus citations

Abstract

We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.

Original language	English
Pages (from-to)	225-238
Number of pages	14
Journal	Journal of the Korean Mathematical Society
Volume	51
Issue number	2
DOIs	https://doi.org/10.4134/JKMS.2014.51.2.225
State	Published - 2014

Keywords

Modular functions
T-cores

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10.4134/JKMS.2014.51.2.225

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title = "Identities for 3-core and 5-core partitions",

abstract = "We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.",

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year = "2014",

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pages = "225--238",

journal = "Journal of the Korean Mathematical Society",

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AU - Park, Yoon Kyung

PY - 2014

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AB - We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.

KW - Modular functions

KW - T-cores

UR - https://www.scopus.com/pages/publications/84897666861

U2 - 10.4134/JKMS.2014.51.2.225

DO - 10.4134/JKMS.2014.51.2.225

M3 - Article

AN - SCOPUS:84897666861

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VL - 51

SP - 225

EP - 238

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 2

ER -

Identities for 3-core and 5-core partitions

Abstract

Keywords

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