On the Mathieu mock theta function

DOI10.3792/pjaa.88.28zbMath1269.11049OpenAlexW2022169031MaRDI QIDQ413800

Tsuyoshi Miezaki

Publication date: 7 May 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1328192001

zbMATH Keywords

mock theta functionscongruencesmodular formsMathieu groupmoonshineharmonic weak Maass formsSturm's criterion

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (3)

Effective congruences for mock theta functions ⋮ The McKay-Thompson series of Mathieu moonshine modulo two ⋮ Congruences for the Fourier coefficients of the Mathieu mock theta function

Cites Work

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• Congruences for the Fourier coefficients of the Mathieu mock theta function
• Monstrous moonshine and monstrous Lie superalgebras
• On certain explicit congruences for mock theta functions
• Monstrous Moonshine
• Notes on the K3 Surface and the Mathieu GroupM₂₄

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