A Short Course in Automorphic Functions Lehner JosephPaperback
A Short Course in Automorphic Functions Lehner JosephPaperback This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and…
Specifikacia A Short Course in Automorphic Functions Lehner JosephPaperback
A Short Course in Automorphic Functions Lehner JosephPaperback
This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. The necessary hyperbolic geometry is developed in the text. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincar , employing the model of the hyperbolic plane.
Formulas for divisors of a function and form are proved and their consequences analyzed. Chapter two develops automorphic functions and forms via the Poincar series. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem.The book presupposes only the usual first courses in complex analysis, topology, and algebra.
Exercises range from routine verifications to significant theorems. Notes at the end of each
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