Lamé operators with projective octahedral and icosahedral monodromies

zbMath1165.14302arXivmath/0411159MaRDI QIDQ2504947

Keiri Nakanishi

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411159

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Coverings in algebraic geometry (14E20)

Cites Work

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• Lamé operators with finite monodromy -- a combinatorial approach
• On algebraic solutions of Lame's differential equation
• Lamé equations with algebraic solutions.
• Counting Lamé differential operators
• Counting integral Lamé equations by means of dessins d’enfants
• On Second Order Linear Differential Equations with Algebraic Solutions
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• On Second Order Linear Differential Equations with Algebraic Solutions on Algebraic Curves
• On Lame Operators which are Pull-Backs of Hypergeometric Ones

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