Congruences for the Fourier coefficients of the Mathieu mock theta function

Tsuyoshi Miezaki; Matthias Waldherr

doi:10.1016/j.jnt.2014.09.025

Congruences for the Fourier coefficients of the Mathieu mock theta function

Tsuyoshi Miezaki^*, Matthias Waldherr

^*Corresponding author for this work

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

Abstract

In this paper, we study the congruences for the Fourier coefficients of the Mathieu mock theta function, which appears in the Mathieu moonshine phenomenon discovered by Eguchi, Ooguri, and Tachikawa.

Original language	English
Pages (from-to)	451-462
Number of pages	12
Journal	Journal of Number Theory
Volume	148
DOIs	https://doi.org/10.1016/j.jnt.2014.09.025
Publication status	Published - 2015 Mar 1
Externally published	Yes

Keywords

Maass forms
Mathieu group
Mock theta series
Modular forms
Moonshine
Primary
Secondary

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2014.09.025

Cite this

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title = "Congruences for the Fourier coefficients of the Mathieu mock theta function",

abstract = "In this paper, we study the congruences for the Fourier coefficients of the Mathieu mock theta function, which appears in the Mathieu moonshine phenomenon discovered by Eguchi, Ooguri, and Tachikawa.",

keywords = "Maass forms, Mathieu group, Mock theta series, Modular forms, Moonshine, Primary, Secondary",

author = "Tsuyoshi Miezaki and Matthias Waldherr",

note = "Funding Information: This work was supported by JSPS KAKENHI ( 22840003 , 24740031 ). Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

month = mar,

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doi = "10.1016/j.jnt.2014.09.025",

language = "English",

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journal = "Journal of Number Theory",

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AU - Miezaki, Tsuyoshi

AU - Waldherr, Matthias

PY - 2015/3/1

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N2 - In this paper, we study the congruences for the Fourier coefficients of the Mathieu mock theta function, which appears in the Mathieu moonshine phenomenon discovered by Eguchi, Ooguri, and Tachikawa.

AB - In this paper, we study the congruences for the Fourier coefficients of the Mathieu mock theta function, which appears in the Mathieu moonshine phenomenon discovered by Eguchi, Ooguri, and Tachikawa.

KW - Maass forms

KW - Mathieu group

KW - Mock theta series

KW - Modular forms

KW - Moonshine

KW - Primary

KW - Secondary

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DO - 10.1016/j.jnt.2014.09.025

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SP - 451

EP - 462

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Congruences for the Fourier coefficients of the Mathieu mock theta function

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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