A Short Course in Automorphic Functions

Joseph Lehner

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English

Dover Publications Inc.
14 January 2015

Mathematics & Sciences; Complex analysis, complex variables

Series: Dover Books on Mathema 1.4tics

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 Poincare, 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 Poincare series. Formulas for divisors of a function and form are proved and their consequences analysed. 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.

By: Joseph Lehner
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 228mm, Width: 9mm, Spine: 154mm
Weight: 222g
ISBN: 9780486789743
ISBN 10: 0486789748
Series: Dover Books on Mathema 1.4tics
Pages: 160
Publication Date: 14 January 2015
Audience: General/trade , College/higher education , ELT Advanced , Primary
Format: Paperback
Publisher's Status: Unspecified

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