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A Short Course in Automorphic Functions

A Short Course in Automorphic Functions

Paperback

Series: Dover Books on Mathematics

CalculusGeneral Mathematics

Currently unavailable to order

ISBN10: 0486789748
ISBN13: 9780486789743
Publisher: Dover Pubn Inc
Published: Jan 14 2015
Pages: 160
Weight: 0.45
Height: 0.40 Width: 5.90 Depth: 8.80
Language: English
This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincaré, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincaré series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem.

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General Mathematics