p-adic Hodge Theory, Bhargav Bhatt; Martin Olsson

Автор: Fernando Q Gouv?a
Название: p-adic Numbers: An Introduction
ISBN: 3030472949 ISBN-13(EAN): 9783030472948
Издательство: Springer
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Цена: 51230.00 T
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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."

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
Наличие на складе: Невозможна поставка.
Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.

Автор: E. Delaygue, T. Rivoal, J. Roques
Название: On Dwork`s P-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps
ISBN: 1470423006 ISBN-13(EAN): 9781470423001
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Using Dwork`s theory, the authors prove a broad generalization of his famous p-adic formal congruences theorem. This enables them to prove certain p-adic congruences for the generalized hypergeometric series with rational parameters, in particular, they hold for any prime number p and not only for almost all primes.

Автор: Matthew J. Emerton
Название: Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups
ISBN: 0821875620 ISBN-13(EAN): 9780821875629
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Provides the foundations for the locally analytic representation theory that is required in three of the author`s other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors.

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: 46570.00 T
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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.

Автор: Andrei Y. Khrennikov; Marcus Nilsson
Название: P-adic Deterministic and Random Dynamics
ISBN: 9048166985 ISBN-13(EAN): 9789048166985
Издательство: Springer
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Цена: 87060.00 T
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Описание: This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.

Автор: Francesco Baldassari; Siegfried Bosch; Bernard Dwo
Название: p-adic Analysis
ISBN: 3540534776 ISBN-13(EAN): 9783540534778
Издательство: Springer
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Цена: 37220.00 T
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Описание: Dedicated to Philippe Robba, this conference was characterized by the discussion of numerous algebraic geometries. Other papers were devoted to exponential sums, a theme connecting p-adic analysis to number theory.

Автор: Alain M. Robert
Название: A Course in p-adic Analysis
ISBN: 0387986693 ISBN-13(EAN): 9780387986692
Издательство: Springer
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Цена: 58650.00 T
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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.

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: 60550.00 T
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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.

Автор: Hida, Haruzo
Название: P-adic automorphic forms on shimura varieties
ISBN: 1441919236 ISBN-13(EAN): 9781441919236
Издательство: Springer
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Цена: 153720.00 T
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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.

Автор: Hida Haruzo Et Al
Название: P-Adic Aspects Of Modular Forms
ISBN: 9814719226 ISBN-13(EAN): 9789814719223
Издательство: World Scientific Publishing
Цена: 116160.00 T
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Описание: 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.

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: 190080.00 T
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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.