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Author | : Fernando Q. Gouvea |
Publisher | : Springer |
Total Pages | : 129 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540388540 |
Download Arithmetic of p-adic Modular Forms Book in PDF, ePub and Kindle
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.
Author | : New York (State). Legislature. Senate |
Publisher | : |
Total Pages | : 1352 |
Release | : 1894 |
Genre | : Government publications |
ISBN | : |
Download Documents of the Senate of the State of New York Book in PDF, ePub and Kindle
Author | : American Bar Association. House of Delegates |
Publisher | : American Bar Association |
Total Pages | : 216 |
Release | : 2007 |
Genre | : Law |
ISBN | : 9781590318737 |
Download Model Rules of Professional Conduct Book in PDF, ePub and Kindle
The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts.
Author | : |
Publisher | : |
Total Pages | : 48 |
Release | : 1999 |
Genre | : Tax revenue estimating |
ISBN | : |
Download Tax Withholding and Estimated Tax Book in PDF, ePub and Kindle
Author | : Dennis Kurzon |
Publisher | : John Benjamins Publishing |
Total Pages | : 321 |
Release | : 2008-05-13 |
Genre | : Language Arts & Disciplines |
ISBN | : 9027290245 |
Download Adpositions Book in PDF, ePub and Kindle
This book is a collection of articles which deal with adpositions in a variety of languages and from a number of perspectives. Not only does the book cover what is traditionally treated in studies from a European and Semitic orientation – prepositions, but it presents studies on postpositions, too. The main languages dealt with in the collection are English, French and Hebrew, but there are articles devoted to other languages including Korean, Turkic languages, Armenian, Russian and Ukrainian. Adpositions are treated by some authors from a semantic perspective, by others as syntactic units, and a third group of authors distinguishes adpositions from the point of view of their pragmatic function. This work is of interest to students and researchers in theoretical and applied linguistics, as well as to those who have a special interest in any of the languages treated.
Author | : Vladimir G. Berkovich |
Publisher | : Princeton University Press |
Total Pages | : 163 |
Release | : 2006-11-13 |
Genre | : Mathematics |
ISBN | : 1400837154 |
Download Integration of One-forms on P-adic Analytic Spaces. (AM-162) Book in PDF, ePub and Kindle
Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path. Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
Author | : Haruzo Hida |
Publisher | : Springer Science & Business Media |
Total Pages | : 397 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468493906 |
Download p-Adic Automorphic Forms on Shimura Varieties Book in PDF, ePub and Kindle
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.
Author | : Baskar Balasubramanyam |
Publisher | : World Scientific |
Total Pages | : 342 |
Release | : 2016-06-14 |
Genre | : Mathematics |
ISBN | : 9814719242 |
Download P-adic Aspects Of Modular Forms Book in PDF, ePub and Kindle
The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
Author | : William Henry Michael |
Publisher | : |
Total Pages | : 1066 |
Release | : 1901 |
Genre | : Civil procedure |
ISBN | : |
Download Encyclopedia of Forms and Precedents for Pleading and Practice Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 454 |
Release | : 1922 |
Genre | : Mathematics |
ISBN | : |
Download The Messenger of Mathematics Book in PDF, ePub and Kindle