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Counting Integral Lamé Equations by Means of Dessins D’enfants
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dahmen, Sander R. |
| Copyright Year | 2006 |
| Abstract | We obtain an explicit formula for the number of Lamé equations (modulo linear changes of variable) with index n and projective monodromy group of order 2N , for given n ∈ Z and N ∈ N. This is done by performing the combinatorics of the ‘dessins d’enfants’ associated to the Belyi covers which transform hypergeometric equations into Lamé equations by pull-back. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/2007-359-02/S0002-9947-06-03924-9/S0002-9947-06-03924-9.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0311510v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dessin d'enfant Modulo operation |
| Content Type | Text |
| Resource Type | Article |
