On modular forms arising from a differential equation of hypergeometric type

2002/06/04 by Masanobu Kaneko, Kaneko, Masanobu, Masao Koike +1 · 4 citations
Mathematics · Physics and Astronomy · #11F11 (Primary) 33C05 #33C45 (Secondary) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT) #Numerical methods for differential equations #math.NT #msc:11F11 #msc:33C05 #msc:33C45

paper · pdf · doi:10.48550/arxiv.math/0206022

19 pages, no figures

openalex publication_date 2002/06/04 · arxiv created 2002/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Modular and quasimodular solutions of specific second order differential equation in the upper-half plane which originates from a study of supersingular j-invariants are given explicitly. A characterization of the differential equation is also discussed.

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