Topics in Classical Automorphic Forms
1997
American Mathematical Society (Verlag)
978-0-8218-0777-4 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0777-4 (ISBN)
Aims to acquaint the reader with various perspectives of the theory of automorphic forms. This work focuses on such subjects as theta-functions and representations by quadratic forms.
This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as theta-functions and representations by quadratic forms.
This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as theta-functions and representations by quadratic forms.
Introduction The classical modular forms Automorphic forms in general The Eisenstein and the Poincare series Kloosterman sums Bounds for the Fourier coefficients of cusp forms Hecke operators Automorphic $L$-functions Cusp forms associated with elliptic curves Spherical functions Theta functions Representations by quadratic forms Automorphic forms associated with number fields Convolution $L$-functions Bibliography Index.
| Erscheint lt. Verlag | 30.10.1997 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 625 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-8218-0777-3 / 0821807773 |
| ISBN-13 | 978-0-8218-0777-4 / 9780821807774 |
| Zustand | Neuware |
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