A Short Course in Automorphic Functions by Joseph Lehner

A Short Course in Automorphic Functions by Joseph Lehner

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.
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 chapter describe further results and extensions, and a glossary offers definitions of terms.
Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1966.
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Joseph Lehner taught at Michigan State University, the University of Maryland at College Park, and the University of Pittsburgh.

SKU	Nicht verfügbar
ISBN 13	9780486789743
ISBN 10	0486789748
Titel	A Short Course in Automorphic Functions
Autor	Joseph Lehner
Serie	Dover Books On Mathema 14tics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Dover Publications Inc.
Erscheinungsjahr	2015-02-27
Seitenanzahl	160
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.