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Saturday, July 18, 2020 | History

3 edition of P-adic methods and their applications found in the catalog.

P-adic methods and their applications

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Published by Clarendon Press, Oxford University Press in Oxford, New York, New York .
Written in English

    Subjects:
  • p-adic analysis.

  • Edition Notes

    Includes bibliographical references.

    Statementedited by Andrew J. Baker and Roger J. Plymen.
    SeriesOxford science publications
    ContributionsBaker, Andrew J., Plymen, Roger J.
    Classifications
    LC ClassificationsQA241 .P233 1992
    The Physical Object
    Paginationxii, 193 p. :
    Number of Pages193
    ID Numbers
    Open LibraryOL1561291M
    ISBN 100198535945
    LC Control Number91042611

    This 6 day workshop will divided into two parts of three days each, with slightly different focus around the common unifying theme of p-adic methods in number theory and the theory of automorphic forms. The first half will focus on eigenvarieties and their arithmetic ramifications, and the second will focus on the theory of Euler systems. This chapter focuses on zeta functions of finite graphs and representations of p-adic groups. It discusses two different subjects: first is a combinatorial problem in algebraic graph theory, and the other is arithmetic of discrete subgroups of p-adic groups and their representations. The chapter presents the notation and basic definitions in.

      On Riemann’s Theory of Algebraic Functions and their Integrals, by Felix Klein Methods and Applications,B. A. DubrovinA. T. FomenkoS. P. Novikov “p-adic Numbers, p-adic . formally p-adic field instead of formally p-adic field over Qp. Formally p-adic fields are also characterized by Proposition (c.f. [14]) Let K be a p-valued field, and L a valued ex-tension field of K. Then L is a formally p-adic field over K if and only if 1 .

    Mathematicians who have no direct interest in p-adic dynamics might still want to take a look at the book to read the first chapter "On Applications of p-adic Analysis". It's a short survey of various attempts to apply p-adic analysis to physics, biology, and other fields. p-adic quantum mechanics is a collection of related research efforts in quantum physics that replace real numbers with p-adic ically, this research was inspired by the discovery that the Veneziano amplitude of the open bosonic string, which is calculated using an integral over the real numbers, can be generalized to the p-adic numbers. This observation initiated the study of p.


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P-adic methods and their applications Download PDF EPUB FB2

: p-Adic Methods and Their Applications (Oxford Science Publications) (): Baker, Andrew J., Plymen, Roger J.: Books. The P-adic methods and their applications book numbers and more generally local fields have become increasingly important in a wide range of mathematical disciplines.

They are now seen as essential tools in many areas, including number theory, algebraic geometry, group representation theory, the modern theory of automorphic forms, and algebraic topology.

A number of texts have recently become available which provide good general. ISBN: OCLC Number: Description: xii, pages: illustrations ; 25 cm: Contents: Machine derived contents note: 1. The Gray Code Function, F. Clarke Applications of p-Adic Methods to Group Theory, M.P.F.

Du Sautoy Applications of the p-Adic Subspace Theorem, G.R. Everest Out of the p-Acid into the Real Manchester School of p-Adic. Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study.

The readers will find developments concerning the topics presented in a reasonable extent with various new problems for further study. Each chapter carefully presents the related. P-Adic Methods and Their Applications The P-Adic numbers and more generally local fields have become increasingly important in a range of mathematical disciplines, and are now seen as essential tools in many areas of mathematics, including number theory, algebraic geometry, group representation theory and algebraic topology.

Abstract: This volume is the first of three dealing with \(p\)-adic methods in arithmetic geometry. Topics in this volume include the theory of formal groups and their deformations, the \(p\)-adic Langlands program, and \(p\)-adic hyperbolic geometry. In Chapter I we discuss single-modulus and multiple-modulus residue number systems and arithmetic in these systems, where the operands may be either integers or rational numbers.

In Chapter II we discuss finite-segment p-adic number systems and their relationship to the p-adic numbers of Hensel []. P-adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics.

It is the application of p-adic analysis to quantum p-adic numbers are an intuitive arithmetic system (but geometrically counterintuitive) that was discovered by German mathematician Kurt Hensel in about and by German mathematician Ernst Kummer().

Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions.

Search the world's most comprehensive index of full-text books. My library. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.

This is the first book to deal with applications of p-adic. This award provides support for participation in the conference "p-adic Methods in Number Theory" held at the University of California, Berkeley on MaySince their conception by Kurt Hensel aroundp-adic numbers have played a central role in number theory; for example, they are used in a crucial way in the proof of Fermat's.

Pris: kr. Häftad, Tillfälligt slut. Bevaka Introduction to p-adic Analytic Number Theory så får du ett mejl när boken går att köpa igen.

Arithmetic of p-adic Modular Forms, F. Gouvêa, Lecture NotesSpringer ; Algorithmic Algebraic Number Theory, M. Pohst and H. Zassenhaus, Encyclopedia of Mathematics and its Applicati CUP Simple Algebras, Base Change and the Advanced Theory of the Trace Formula, J.

Arthur, L. Clozel, Princeton University Press In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory.

A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view.

Connections between various methods for computing scattering amplitudes are related to the. p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (, ISBN ) This is a short book.

If you wish, you can only read the first chapter with 20 pages. Here I do not demand the applications to be (purely) 'mathematical'; for example, I wonder whether p-adic numbers have applications to physics (outside of string theory?).

Moreover, I am also interested in those applications that are partially 'algebraic', and yet important for some other parts of mathematics. p-adic numbers was one of the most crucial topics of pure mathematics to investigate. After s, many scientists recognized the importance of p-adic numbers and many researches studied on p-adic numbers and its various applications in their works (Arefeva et al., ; Rozikov.

Main cryptographic applications of p-adic numbers: point counting algorithms; CM-methods; isogeny computations. Lubicz p-adic numbers. The classification of unramified extension is given by their degree.

Proposition algebraic relations using analytic methods, and then interpret these relations over finite fields by reduction. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

The digit and digit formats both : Paperback.The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the.The last chapter deals with miscellaneous applications of the Differential Calculus, including an introduction to the Calculus of Variations. To help you succeed, whether you are teaching or conducting research remotely, or just looking for a good book to read at home, all AMS eBooks will be 50% off list price through August Learn More.