Short Course in Automorphic Functions (eBook)

Joseph Lehner (Autor)

eBook Download: EPUB

2014
160 Seiten
Dover Publications (Verlag)
978-0-486-79992-6 (ISBN)

Infos

Concise treatment covers basics of Fuchsian groups, development of Poincaré series and automorphic forms, and the connection between theory of Riemann surfaces with theories of automorphic forms and discontinuous groups. 1966 edition.

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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.

Autor

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

Produkt-Details

• Erscheint lt. Verlag: 27.10.2014
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 150 x 150 mm
• Gewicht: 218 g
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Algebra • automorphic forms • automorphic functions • automorphic function theory • books on calculus • books on math • Calculus • classical method of poincaré • Complex Analysis • discontinuous groups • elliptic functions • Fuchsian Groups • functions in math • Hyperbolic Geometry • hyperbolic plane • mathematical studies • Non-fiction • poincaré series • Riemann-Roch theorem • Riemann Surfaces • riemann surface theory • science and math • Theoretical • Topology
• ISBN-10: 0-486-79992-1 / 0486799921
• ISBN-13: 978-0-486-79992-6 / 9780486799926