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Automorphic Forms, Representations and $L$-Functions

1979-06-30 Mathematics
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Release : 1979-06-30
Genre : Mathematics
Kind : eBook
Book Rating : 370/5 ( reviews)

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Book Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel

Download or read book Automorphic Forms, Representations and $L$-Functions written by Armand Borel. This book was released on 1979-06-30. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Automorphic Forms on GL (3,TR)

2006-12-08 Mathematics
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Release : 2006-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 553/5 ( reviews)

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Book Synopsis Automorphic Forms on GL (3,TR) by : D. Bump

Download or read book Automorphic Forms on GL (3,TR) written by D. Bump. This book was released on 2006-12-08. Available in PDF, EPUB and Kindle. Book excerpt:

Automorphic Forms and Applications

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 738/5 ( reviews)

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Book Synopsis Automorphic Forms and Applications by : Peter Sarnak

Download or read book Automorphic Forms and Applications written by Peter Sarnak. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Automorphic Forms

2012-08-29 Mathematics
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Release : 2012-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 35X/5 ( reviews)

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Book Synopsis Automorphic Forms by : Anton Deitmar

Download or read book Automorphic Forms written by Anton Deitmar. This book was released on 2012-08-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Representation Theory and Automorphic Forms

2007-10-10 Mathematics
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Release : 2007-10-10
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis Representation Theory and Automorphic Forms by : Toshiyuki Kobayashi

Download or read book Representation Theory and Automorphic Forms written by Toshiyuki Kobayashi. This book was released on 2007-10-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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