The Fourier coefficients of the McKay-Thompson series and the traces of CM values

DOI10.1007/s40993-017-0090-xzbMath1441.11096arXiv1703.10115OpenAlexW2603783904MaRDI QIDQ680055

Toshiki Matsusaka

Publication date: 22 January 2018

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10115

zbMATH Keywords

elliptic modular functionJacobi formscomplex multiplicationFourier coefficientsmoonshine

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (1)

Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln

Cites Work

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• The theory of Jacobi forms
• Monstrous moonshine and monstrous Lie superalgebras
• Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5
• TRACES OF SINGULAR VALUES AND BORCHERDS PRODUCTS
• Recursion formulas for modular traces of weak Maass forms of weight zero
• Monstrous Moonshine
• Borcherds products associated with certain Thompson series
• FORMULAS FOR THE FOURIER COEFFICIENTS OF SOME GENUS ZERO MODULAR FUNCTIONS
• Traces of CM values of modular functions
• Moonshine beyond the Monster

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