Introduces hyperbolic Belyi maps and Shabat-Blaschke products, studies their dessins in the disk, and uses arithmetic properties of Chebyshev-Blaschke products to prove Landen-type theta function identities.
Schneps, Dessins d’enfants on the Riemann sphere, in The Grothendiec k theory of dessins d’enfants., London Math
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Hyberbolic Belyi maps and Shabat-Blaschke products
Introduces hyperbolic Belyi maps and Shabat-Blaschke products, studies their dessins in the disk, and uses arithmetic properties of Chebyshev-Blaschke products to prove Landen-type theta function identities.