The modular differential equation for skew-holomorphic Jacobi forms

DOI10.1007/s11139-021-00547-zzbMath1498.11134OpenAlexW4214693298WikidataQ114223563 ScholiaQ114223563MaRDI QIDQ2097514

Shotaro Kimura

Publication date: 14 November 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00547-z

zbMATH Keywords

differential operatormodular differential equationskew-holomorphic Jacobi formsKaneko-Zagier differential equation

Mathematics Subject Classification ID

Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (2)

Modular differential equations of the elliptic genus of Calabi-Yau fourfolds ⋮ Construction of modular differential equations by using Rankin-Cohen brackets

Cites Work

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• The theory of Jacobi forms
• On modular forms arising from a differential equation of hypergeometric type
• A mixed mock modular solution of the Kaneko-Zagier equation
• The third order modular linear differential equations
• Kaneko-Zagier type equation for Jacobi forms of index 1

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