Euler Products
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Euler Products And Eisenstein Series
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Author : Gorō Shimura
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Euler Products And Eisenstein Series written by Gorō Shimura 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 1997 with Eisenstein series categories.
This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localizations that are standard but were proved in some old papers or just called well-known. In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.
Motivic Euler Products And Motivic Height Zeta Functions
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Author : Margaret Bilu
language : en
Publisher: American Mathematical Society
Release Date : 2023-02-13
Motivic Euler Products And Motivic Height Zeta Functions written by Margaret Bilu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Mathematics categories.
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Euler Products
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Author : Robert Phelan Langlands
language : en
Publisher:
Release Date : 1971
Euler Products written by Robert Phelan Langlands and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Euler Products And Eisenstein Series
DOWNLOAD
Author : Gorō Shimura
language : en
Publisher: American Mathematical Soc.
Release Date :
Euler Products And Eisenstein Series written by Gorō Shimura 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 with Mathematics categories.
This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein sereis on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localiztions that are standard but were proved in some old papers or just called "well-known". In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.
Euler Products
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Author : Robert P. Langlands
language : en
Publisher:
Release Date : 1971
Euler Products written by Robert P. Langlands and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Hecke Operators And Euler Products
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Author : Jacobus Hendricus van Lint
language : en
Publisher:
Release Date : 1957
Hecke Operators And Euler Products written by Jacobus Hendricus van Lint and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Forms (Mathematics) categories.
Euler Through Time
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Author : V. S. Varadarajan
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Euler Through Time written by V. S. Varadarajan 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 2006 with Mathematics categories.
Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are still at the center of today's mathematics. It is of great interesttherefore to examine his work and its relation to current mathematics. This book attempts to do that. In number theory the discoveries he made empirically would require for their eventual understanding such sophisticated developments as the reciprocity laws and class field theory. His pioneering work onelliptic integrals is the precursor of the modern theory of abelian functions and abelian integrals. His evaluation of zeta and multizeta values is not only a fantastic and exciting story but very relevant to us, because they are at the confluence of much research in algebraic geometry and number theory today (Chapters 2 and 3 of the book). Anticipating his successors by more than a century, Euler created a theory of summation of series that do not converge in the traditional manner. Chapter 5of the book treats the progression of ideas regarding divergent series from Euler to many parts of modern analysis and quantum physics. The last chapter contains a brief treatment of Euler products. Euler discovered the product formula over the primes for the zeta function as well as for a smallnumber of what are now called Dirichlet $L$-functions. Here the book goes into the development of the theory of such Euler products and the role they play in number theory, thus offering the reader a glimpse of current developments (the Langlands program).
Analytic Continuation Of Euler Products
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Author : Trung Hieu Ngo
language : en
Publisher:
Release Date : 2007
Analytic Continuation Of Euler Products written by Trung Hieu Ngo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Euler products categories.
Euler S Function On Products Of Primes In Progressions
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Author : Forrest Francis
language : en
Publisher:
Release Date : 2017
Euler S Function On Products Of Primes In Progressions written by Forrest Francis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Automorphic Forms Automorphic Representations And Arithmetic
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Automorphic Forms Automorphic Representations And Arithmetic written by Robert S. Doran 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 1999 with categories.