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p-adic Numbers: An Introduction, Fernando Q Gouv?a


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Автор: Fernando Q Gouv?a   (Фернандо К. Гувья)
Название:  p-adic Numbers: An Introduction
Перевод названия: Фернандо К. Гувья: p-адические числа. Введение
ISBN: 9783030472948
Издательство: Springer
Классификация:


ISBN-10: 3030472949
Обложка/Формат: Paperback
Страницы: 366
Вес: 0.58 кг.
Дата издания: 20.06.2020
Серия: Universitext
Язык: English
Издание: 3rd ed. 2020
Иллюстрации: 19 illustrations, black and white; xiii, 366 p. 19 illus.
Размер: 23.39 x 15.60 x 1.98 cm
Читательская аудитория: Professional & vocational
Подзаголовок: An introduction
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: There are numbers of all kinds: rational, real, complex, p-adic. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is.


Modular Representation Theory of Finite and P-Adic Groups

Автор: Gan Wee Teck, Tan Kai Meng
Название: Modular Representation Theory of Finite and P-Adic Groups
ISBN: 981465180X ISBN-13(EAN): 9789814651806
Издательство: World Scientific Publishing
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Цена: 13939.00 р.
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Описание: This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.

Introduction to Harmonic Analysis on Reductive P-Adic Groups. (MN-23): Based on Lectures by Harish-Chandra at the Institute for Advanced Study, 1971-7

Автор: Silberger Allan G.
Название: Introduction to Harmonic Analysis on Reductive P-Adic Groups. (MN-23): Based on Lectures by Harish-Chandra at the Institute for Advanced Study, 1971-7
ISBN: 069161136X ISBN-13(EAN): 9780691611365
Издательство: Wiley
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Цена: 11088.00 р.
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Описание: Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pr

Introduction to Harmonic Analysis on Reductive P-Adic Groups. (Mn-23): Based on Lectures by Harish-Chandra at the Institute for Advanced Study, 1971-7

Автор: Silberger Allan G.
Название: Introduction to Harmonic Analysis on Reductive P-Adic Groups. (Mn-23): Based on Lectures by Harish-Chandra at the Institute for Advanced Study, 1971-7
ISBN: 069163937X ISBN-13(EAN): 9780691639376
Издательство: Wiley
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Цена: 27720.00 р.
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Описание:

Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups.

Originally published in 1979.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Автор: Neal Koblitz
Название: p-adic Numbers, p-adic Analysis, and Zeta-Functions
ISBN: 0387960171 ISBN-13(EAN): 9780387960173
Издательство: Springer
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Цена: 9083.00 р.
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Описание: The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level.

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Автор: Neal Koblitz
Название: p-adic Numbers, p-adic Analysis, and Zeta-Functions
ISBN: 1461270146 ISBN-13(EAN): 9781461270140
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints.

Value Distribution In P-Adic Analysis

Автор: Escassut Alain
Название: Value Distribution In P-Adic Analysis
ISBN: 9814730106 ISBN-13(EAN): 9789814730105
Издательство: World Scientific Publishing
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Цена: 28512.00 р.
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Описание:

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation.

P-adic automorphic forms on shimura varieties

Автор: Hida, Haruzo
Название: P-adic automorphic forms on shimura varieties
ISBN: 1441919236 ISBN-13(EAN): 9781441919236
Издательство: Springer
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Цена: 23058.00 р.
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Описание: 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.

Lectures on p-adic Differential Equations

Автор: Bernard Dwork
Название: Lectures on p-adic Differential Equations
ISBN: 1461381959 ISBN-13(EAN): 9781461381952
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. Contents 1 Introduction . . . . . . . Transcendental Theory . Hasse Invariants . The a --+ a` Map .

A Course in p-adic Analysis

Автор: Alain M. Robert
Название: A Course in p-adic Analysis
ISBN: 0387986693 ISBN-13(EAN): 9780387986692
Издательство: Springer
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Цена: 8798.00 р.
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Описание: It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel`s functional equation lemma, and a treatment of analytic elements.


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