A Short Course in Automorphic Functions - Brossura

Lehner, Joseph

Brossura

ISBN 10: 0486789748 ISBN 13: 9780486789743

Casa editrice: Dover Pubns, 2015

Riassunto

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.

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Informazioni sull?autore

Joseph Lehner taught at Michigan State University, the University of Maryland at College Park, and the University of Pittsburgh.

Dalla quarta di copertina

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.
See every Dover book in print at
www.doverpublications.com

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 0486789748
• ISBN 13: 9780486789743
• Rilegatura: Copertina flessibile
• Numero di pagine: 144
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia