Counting integral Lamé equations by means of dessins d’enfants

DOI10.1090/S0002-9947-06-03924-9zbMath1131.34060arXivmath/0311510OpenAlexW1580720098MaRDI QIDQ3420295

Sander R. Dahmen

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311510

zbMATH Keywords

monodromyLamé equationdessin d'enfantsalgebraic solution

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Coverings of curves, fundamental group (14H30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items

Simple zero property of some holomorphic functions on the moduli space of tori ⋮ Mean field equations, hyperelliptic curves and modular forms. II ⋮ Lamé operators with projective octahedral and icosahedral monodromies ⋮ The geometry of generalized Lamé equation. I ⋮ The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application

Cites Work

• Unnamed Item
• On algebraic solutions of Lame's differential equation
• Lamé equations with algebraic solutions.
• Counting Lamé differential operators
• On Second Order Linear Differential Equations with Algebraic Solutions
• On Lame Operators which are Pull-Backs of Hypergeometric Ones

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