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| Author | : Armand Borel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 394 |
| Release | : 1979-06-30 |
| Genre | : Mathematics |
| ISBN | : 0821814370 |
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
| Author | : A. Borel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 334 |
| Release | : 1979 |
| Genre | : Mathematics |
| ISBN | : 0821814354 |
Contains sections on Reductive groups, representations, Automorphic forms and representations.
| Author | : D. Bump |
| Publisher | : Springer |
| Total Pages | : 196 |
| Release | : 2006-12-08 |
| Genre | : Mathematics |
| ISBN | : 3540390553 |
| Author | : H. Jacquet |
| Publisher | : Springer |
| Total Pages | : 156 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540376127 |
| Author | : Dorian Goldfeld |
| Publisher | : Cambridge University Press |
| Total Pages | : 65 |
| Release | : 2006-08-03 |
| Genre | : Mathematics |
| ISBN | : 1139456202 |
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
| Author | : Dorian Goldfeld |
| Publisher | : Cambridge University Press |
| Total Pages | : 571 |
| Release | : 2011-04-21 |
| Genre | : Mathematics |
| ISBN | : 1139500139 |
This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.
| Author | : Anton Deitmar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 255 |
| Release | : 2012-08-29 |
| Genre | : Mathematics |
| ISBN | : 144714435X |
Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers. Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.
| Author | : Toshiyuki Kobayashi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 220 |
| Release | : 2007-10-10 |
| Genre | : Mathematics |
| ISBN | : 0817646469 |
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : 704 |
| Release | : 1979 |
| Genre | : Automorphic forms |
| ISBN | : |
| Author | : Henryk Iwaniec |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821807773 |
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
