Quasimodular forms as solutions of modular differential equations

DOI10.1142/S1793042120501158zbMath1476.11072arXiv2002.02736OpenAlexW3106296651WikidataQ115244598 ScholiaQ115244598MaRDI QIDQ5140303

Peter J. Grabner

Publication date: 15 December 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02736

zbMATH Keywords

modular differential equationsextremal quasimodular formsbalanced quasimodular formsquasimodular vectors

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

Eigenfunctions of the Fourier transform with specified zeros ⋮ Equivariant solutions to modular Schwarzian equations ⋮ Modular ordinary differential equations on \(\mathrm{SL}(2,\mathbb{Z})\) of third order and applications ⋮ Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike ⋮ EXTREMAL QUASIMODULAR FORMS OF LOWER DEPTH WITH INTEGRAL FOURIER COEFFICIENTS

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