ON THE MODULARITY OF SOLUTIONS TO CERTAIN DIFFERENTIAL EQUATIONS OF HYPERGEOMETRIC TYPE

DOI10.1017/S0004972721000721zbMath1498.11114arXiv2106.10842OpenAlexW3198938535WikidataQ115336866 ScholiaQ115336866MaRDI QIDQ5076479

Hicham Saber, Abdellah Sebbar

Publication date: 17 May 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10842

zbMATH Keywords

Eisenstein seriesmodular formsFuchsian differential equationsSchwarz derivativeequivariant functionsrepresentations of the modular group

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Cites Work

• Unnamed Item
• On modular forms arising from a differential equation of hypergeometric type
• Fuchsian groups, automorphic functions and Schwarzians
• Automorphic Schwarzian equations
• Equivariant solutions to modular Schwarzian equations
• Automorphic Schwarzian equations and integrals of weight 2 forms
• On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation
• ON THE EXISTENCE OF VECTOR-VALUED AUTOMORPHIC FORMS

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