The Semi Simple Zeta Function Of Shimura Varieties Associated To Quaternion Algebras

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The Semi Simple Zeta Function Of Shimura Varieties Associated To Quaternion Algebras

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Author : Harry Reimann
language : de
Publisher:
Release Date : 1995

The Semi Simple Zeta Function Of Shimura Varieties Associated To Quaternion Algebras written by Harry Reimann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

The Semi Simple Zeta Function Of Quaternionic Shimura Varieties

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Author : Harry Reimann
language : en
Publisher: Springer
Release Date : 2006-11-14

The Semi Simple Zeta Function Of Quaternionic Shimura Varieties written by Harry Reimann 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.

This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.

P Adic Automorphic Forms On Shimura Varieties

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Author : Haruzo Hida
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

P Adic Automorphic Forms On Shimura Varieties written by Haruzo Hida and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de pending on their weights, and this book is the outgrowth of the lectures given there.

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

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2006

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Formes Automorphes I Questions About Slopes Of Modular Forms

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Author : Centre Émile Borel
language : en
Publisher:
Release Date : 2005

Formes Automorphes I Questions About Slopes Of Modular Forms written by Centre Émile Borel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This volume is the first of a series of two devoted to automorphic forms from a geometric and arithmetic point of view. They also deal with certain parts of the Langlands program. The themes treated in this volume include $p$-adic modular forms, the local Langlands correspondence for $GL(n)$, the cohomology of Shimura varieties, their reduction modulo $p$, and their stratification by Newton polygons. The book is suitable for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.

Automorphic Forms Shimura Varieties And L Functions

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Author : Laurent Clozel
language : en
Publisher:
Release Date : 1990

Automorphic Forms Shimura Varieties And L Functions written by Laurent Clozel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Reviews In Number Theory 1984 96

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Author :
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1997

Reviews In Number Theory 1984 96 written by and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews (MR) between 1984 and 1996. This is the third such set of volumes in number theory: the first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

Modular Forms

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Author : Toshitsune Miyake
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-17

Modular Forms written by Toshitsune Miyake and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-17 with Mathematics categories.

For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are seldom dealt with in books. The so-called Eichler-Selberg trace formula of Hecke operators follows next and the explicit computable formula is given. In the last chapter, written for the English edition, Eisenstein series with parameter are discussed following the recent work of Shimura: Eisenstein series are likely to play a very important role in the future progress of number theory, and thischapter provides a good introduction to the topic.

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

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Author :
language : de
Publisher:
Release Date : 1996

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with German imprints categories.