| A Short Course in Automorphic Functions Contributor(s): Lehner, Joseph (Author) |
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ISBN: 0486789748 ISBN-13: 9780486789743 Publisher: Dover Publications OUR PRICE: $11.66 Product Type: Paperback - Other Formats Published: January 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Complex Analysis - Mathematics | Calculus |
| Dewey: 515.9 |
| LCCN: 2014025812 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.4" H x 5.9" W x 8.8" (0.45 lbs) 160 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Poincar , 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 Poincar 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. |