By Joseph Lehner
This concise three-part therapy introduces undergraduate and graduate scholars to the idea of automorphic capabilities and discontinuous teams. writer Joseph Lehner starts off through elaborating at the idea of discontinuous teams through the classical approach to Poincaré, utilizing the version of the hyperbolic aircraft. the mandatory hyperbolic geometry is built within the textual content. bankruptcy develops automorphic services and varieties through the Poincaré sequence. formulation for divisors of a functionality and shape are proved and their effects analyzed. the ultimate bankruptcy is dedicated to the relationship among automorphic functionality concept and Riemann floor concept, concluding with a few functions of Riemann-Roch theorem.
The publication presupposes in simple terms the standard first classes in advanced research, topology, and algebra. workouts variety from regimen verifications to major theorems. Notes on the finish of every bankruptcy describe additional effects and extensions, and a word list deals definitions of terms.
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A short course in automorphic functions by Joseph Lehner
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