Heat operators on modular and quasimodular polynomials

DOI10.7169/facm/1978OpenAlexW3205675084MaRDI QIDQ2075027

Yanyan Li

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1978

zbMATH Keywords

modular formsquasimodular formsheat operatorsJacobi-like forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50)

Cites Work

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• The theory of Jacobi forms
• Symmetric tensor representations, quasimodular forms, and weak Jacobi forms
• The ring of quasimodular forms for a cocompact group
• Modular forms and differential operators
• Jacobi forms and the heat operator
• The character of the infinite wedge representation
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• Quasimodular forms and Jacobi-like forms
• Partitions, quasimodular forms, and the Bloch-Okounkov theorem
• Orbitwise countings in H(2) and quasimodular forms
• Cohen–Kuznetsov liftings of quasimodular forms
• HEAT OPERATORS AND QUASIMODULAR FORMS
• Quasimodular forms and Poincaré series
• Quasimodularity and large genus limits of Siegel-Veech constants
• Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms
• Modular Forms

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