The McKay-Thompson series of Mathieu Moonshine modulo two

Thomas Creutzig; Gerald Höhn; Tsuyoshi Miezaki

doi:10.1007/s11139-013-9553-4

The McKay-Thompson series of Mathieu Moonshine modulo two

Thomas Creutzig, Gerald Höhn^*, Tsuyoshi Miezaki

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan, and Harvey stated in connection with umbral moonshine for the case of Mathieu moonshine.

Original language	English
Pages (from-to)	319-328
Number of pages	10
Journal	Ramanujan Journal
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/s11139-013-9553-4
Publication status	Published - 2014 Aug
Externally published	Yes

Keywords

Mock modular forms
Moonshine

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-013-9553-4

Cite this

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title = "The McKay-Thompson series of Mathieu Moonshine modulo two",

abstract = "In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan, and Harvey stated in connection with umbral moonshine for the case of Mathieu moonshine.",

keywords = "Mock modular forms, Moonshine",

author = "Thomas Creutzig and Gerald H{\"o}hn and Tsuyoshi Miezaki",

note = "Funding Information: Thomas Creutzig was supported by NSERC Research Grant RES0020460 and Tsuyoshi Miezaki was supported by JSPS KAKENHI Grants 22840003 and 24740031.",

year = "2014",

month = aug,

doi = "10.1007/s11139-013-9553-4",

language = "English",

volume = "34",

pages = "319--328",

journal = "Ramanujan Journal",

issn = "1382-4090",

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T1 - The McKay-Thompson series of Mathieu Moonshine modulo two

AU - Creutzig, Thomas

AU - Höhn, Gerald

AU - Miezaki, Tsuyoshi

N1 - Funding Information: Thomas Creutzig was supported by NSERC Research Grant RES0020460 and Tsuyoshi Miezaki was supported by JSPS KAKENHI Grants 22840003 and 24740031.

PY - 2014/8

Y1 - 2014/8

N2 - In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan, and Harvey stated in connection with umbral moonshine for the case of Mathieu moonshine.

AB - In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan, and Harvey stated in connection with umbral moonshine for the case of Mathieu moonshine.

KW - Mock modular forms

KW - Moonshine

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DO - 10.1007/s11139-013-9553-4

M3 - Article

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ER -

The McKay-Thompson series of Mathieu Moonshine modulo two

Abstract

Keywords

ASJC Scopus subject areas

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