Zeta Functions Of Simple Algebras With Non Abelian Characters

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Zeta Functions Of Simple Algebras With Non Abelian Characters

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Author : Aleksandr Nikolaevich Andrianov
language : en
Publisher:
Release Date : 1968

Zeta Functions Of Simple Algebras With Non Abelian Characters written by Aleksandr Nikolaevich Andrianov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functions, Zeta categories.

Zeta Functions Of Simple Algebras

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Author : Roger Godement
language : en
Publisher: Springer
Release Date : 2006-11-14

Zeta Functions Of Simple Algebras written by Roger Godement and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Automorphic Forms Representations And L Functions

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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-06-30

Automorphic Forms Representations And L Functions written by Armand Borel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-06-30 with Mathematics categories.

Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Automorphic Representations And L Functions For The General Linear Group Volume 1

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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21

Automorphic Representations And L Functions For The General Linear Group Volume 1 written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.

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.

Russian Mathematical Surveys

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Author :
language : en
Publisher:
Release Date : 2000

Russian Mathematical Surveys written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematicians categories.

Representation Theory And Analysis On Homogeneous Spaces

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Author : Semen Grigorʹevich Gindikin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Representation Theory And Analysis On Homogeneous Spaces written by Semen Grigorʹevich Gindikin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

A combination of new results and surveys of recent work on representation theory and the harmonic analysis of real and p-adic groups. Among the topics are nilpotent homogeneous spaces, multiplicity formulas for induced representations, and new methods for constructing unitary representations of real reductive groups. The 12 papers are from a conference at Rutgers University, February 1993. No index. Annotation copyright by Book News, Inc., Portland, OR

Quaternion Algebras

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Author : John Voight
language : en
Publisher: Springer Nature
Release Date : 2021-06-28

Quaternion Algebras written by John Voight and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.

Collection Of Articles Dedicated To Academician I M Vinogradov On The Eightieth Anniversary Of His Birth

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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1973

Collection Of Articles Dedicated To Academician I M Vinogradov On The Eightieth Anniversary Of His Birth written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

A two volume collection of mathematical papers on algebra and mathematics in honor of famed Russian mathematician, I.M. Vinogradov.

Pacific Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1973

Pacific Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Electronic journals categories.

Soviet Mathematics Doklady

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Author :
language : en
Publisher:
Release Date : 1968

Soviet Mathematics Doklady written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.