Automorphic Forms On Adele Groups Am 83 Volume 83 PDF Download
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| Author | : Stephen S. Gelbart |
| Publisher | : Princeton University Press |
| Total Pages | : 227 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400881617 |
Download Automorphic Forms on Adele Groups. (AM-83), Volume 83 Book in PDF, ePub and Kindle
This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?
| Author | : Werner Müller |
| Publisher | : Springer |
| Total Pages | : 578 |
| Release | : 2016-09-20 |
| Genre | : Mathematics |
| ISBN | : 3319414240 |
Download Families of Automorphic Forms and the Trace Formula Book in PDF, ePub and Kindle
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
| Author | : Juergen Elstrodt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662036266 |
Download Groups Acting on Hyperbolic Space Book in PDF, ePub and Kindle
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,
| Author | : Zhibin Liang |
| Publisher | : Springer |
| Total Pages | : 95 |
| Release | : 2019-05-22 |
| Genre | : Mathematics |
| ISBN | : 9811366640 |
Download The Computational and Theoretical Aspects of Elliptic Curves Book in PDF, ePub and Kindle
This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic. It provides an overview of the conjecture and a few special cases where the conjecture is proved. The broad theme of the two conferences was “Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture”. The first was held at Beijing International Centre for Mathematical Research (BICMR) in December 2014 and the second was held at the International Centre for Theoretical Sciences (ICTS), Bangalore, India in December 2016. Providing a broad overview of the subject, the book is a valuable resource for young researchers wishing to work in this area. The articles have an extensive list of references to enable diligent researchers to gain an idea of the current state of art on this conjecture.
| Author | : Robion C. Kirby |
| Publisher | : Princeton University Press |
| Total Pages | : 368 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400881501 |
Download Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 Book in PDF, ePub and Kindle
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
| Author | : Stephen S. Gelbart |
| Publisher | : |
| Total Pages | : 267 |
| Release | : 1975 |
| Genre | : Formes automorphes |
| ISBN | : 9780608066042 |
Download Automorphic Forms on Adele Groups Book in PDF, ePub and Kindle
| Author | : |
| Publisher | : |
| Total Pages | : 698 |
| Release | : 1994 |
| Genre | : Algebra |
| ISBN | : |
Download St. Petersburg Mathematical Journal Book in PDF, ePub and Kindle
| Author | : H. Koch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 280 |
| Release | : 1997-09-12 |
| Genre | : Mathematics |
| ISBN | : 9783540630036 |
Download Algebraic Number Theory Book in PDF, ePub and Kindle
From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993
| Author | : Yu. I. Manin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 311 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 3662080052 |
Download Number Theory I Book in PDF, ePub and Kindle
A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.
| Author | : Armand Borel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 394 |
| Release | : 1979-06-30 |
| Genre | : Mathematics |
| ISBN | : 0821814370 |
Download Automorphic Forms, Representations and $L$-Functions Book in PDF, ePub and Kindle
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
