Séminaire de Théorie Des Nombres

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817636227
Total Pages : 288 pages
Book Rating : 4.6/5 (362 download)

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Book Synopsis Séminaire de Théorie Des Nombres by : D. Sinnou

Download or read book Séminaire de Théorie Des Nombres written by D. Sinnou and published by Springer Science & Business Media. This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le travail ci-dessous developpe sur quelques points les tex:tes fondamentaux de C.L. Siegel [13[ et de K. Ramachandra [2). Remerclements C'est au Max Planck Institut de Bonn que la plus grande part des resultats (th. 2 et 3, ex:ception faite du point 3 d et th. 4 et 5) ont ete soit rectiges soit con~s. La rectaction definitive de ce travail a eu lieu ä l'Institut Fourier de Grenoble durant l'hiver 1990. Le th. 1 tel qu'il apparait ici, et le corollaire du th. 6 cf. identite (13), sont nouveaux. On trouvera une rectaction detailleedes th. 2 et 3 dans [51 et, parmi d'autres resultats, des th. 4, 5 et 6 dans [7). Que tous mes collegues et les deux equipes de secretartat recoivent ici mes remerciements les plus chaleureux. 2 1) On pose e( x) = e 1rix, x E C. Pour L un reseau complex:e, on note une base positivement olientee de L = lw + lw c'est-ä-dire teile que 1 2 On definit alors une forme modulaire .,.p> de poids 1 par 1](2)(w) ~fn (21l"i)ql/12 IJ ( - qn)2 1 { w2 n>l 1 12 q = e(W) , q 1 = e(W/12) , W = wt!w2 .

Séminaire de Théorie Des Nombres

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817637415
Total Pages : 328 pages
Book Rating : 4.6/5 (374 download)

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Book Synopsis Séminaire de Théorie Des Nombres by : Sinnou David

Download or read book Séminaire de Théorie Des Nombres written by Sinnou David and published by Springer Science & Business Media. This book was released on 1993-12-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the 13th annual volume of papers based on lectures given at the Seminaire des Nombres de Paris. The results presented here by an international group of mathematicians reflect recent work in many areas of number theory and should form a basis for further discussion on these topics.

Mathematical Seminary

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Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Mathematical Seminary by : Princeton University. Library

Download or read book Mathematical Seminary written by Princeton University. Library and published by . This book was released on 1915 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Algebraic Independence Theory

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Publisher : Springer
ISBN 13 : 3540445501
Total Pages : 257 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Introduction to Algebraic Independence Theory by : Yuri V. Nesterenko

Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.

Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802917
Total Pages : 669 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics by : Walter Gautschi

Download or read book Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics written by Walter Gautschi and published by American Mathematical Soc.. This book was released on 1994 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an International Conference held in Vancouver, B.C., August 1993, to commemorate the 50th anniversary of the founding of the journal Mathematics of Computation. It consisted of a Symposium on Numerical Analysis and a Minisymposium of Computational Number Theory. This proceedings contains 14 invited papers, including two not presented at the conference--an historical essay on integer factorization, and a paper on componentwise perturbation bounds in linear algebra. The invited papers present surveys on the various subdisciplines covered by Mathematics of Computation, in a historical perspective and in a language accessible to a wide audience. The 46 contributed papers address contemporary specialized work. Annotation copyright by Book News, Inc., Portland, OR

Introduction a L'algebre

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Publisher :
ISBN 13 : 9789027963154
Total Pages : 238 pages
Book Rating : 4.9/5 (631 download)

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Book Synopsis Introduction a L'algebre by : Richard V. Andree

Download or read book Introduction a L'algebre written by Richard V. Andree and published by . This book was released on 1970 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Séminaire de Théorie des Nombres, Paris 1987-88

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Publisher : Springer Science & Business Media
ISBN 13 : 1461234603
Total Pages : 349 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Séminaire de Théorie des Nombres, Paris 1987-88 by : Goldstein

Download or read book Séminaire de Théorie des Nombres, Paris 1987-88 written by Goldstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Classical Introduction to Modern Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 147572103X
Total Pages : 406 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland

Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

1001 Problems in Classical Number Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886182
Total Pages : 358 pages
Book Rating : 4.8/5 (861 download)

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Book Synopsis 1001 Problems in Classical Number Theory by : Armel Mercier

Download or read book 1001 Problems in Classical Number Theory written by Armel Mercier and published by American Mathematical Soc.. This book was released on 2007 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Class Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662113236
Total Pages : 517 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Class Field Theory by : Georges Gras

Download or read book Class Field Theory written by Georges Gras and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.

Number Theory

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Publisher : Walter de Gruyter
ISBN 13 : 9783110117912
Total Pages : 1038 pages
Book Rating : 4.1/5 (179 download)

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Book Synopsis Number Theory by : Jean-Marie De Koninck

Download or read book Number Theory written by Jean-Marie De Koninck and published by Walter de Gruyter. This book was released on 1989 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monumental proceedings (very handsomely produced) of a major international conference. The book contains 74 refereed articles which, apart from a few survey papers of peculiar interest, are mostly research papers (63 in English, 11 in French). The topics covered reflect the full diversity of the current trends and activities in modern number theory: elementary, algebraic and analytic number theory; constructive (computational) number theory; elliptic curves and modular forms; arithmetical geometry; transcendence; quadratic forms; coding theory. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

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Publisher : Springer Science & Business Media
ISBN 13 : 3540347208
Total Pages : 579 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae by : Catherine Goldstein

Download or read book The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae written by Catherine Goldstein and published by Springer Science & Business Media. This book was released on 2007-02-03 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Mathematics of Computation

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ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics of Computation by :

Download or read book Mathematics of Computation written by and published by . This book was released on 1960* with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.

Elementary Number Theory, Cryptography and Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540692002
Total Pages : 530 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Elementary Number Theory, Cryptography and Codes by : M. Welleda Baldoni

Download or read book Elementary Number Theory, Cryptography and Codes written by M. Welleda Baldoni and published by Springer Science & Business Media. This book was released on 2008-11-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter. Though the book contains advanced material, such as cryptography on elliptic curves, Goppa codes using algebraic curves over finite fields, and the recent AKS polynomial primality test, the authors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers, both in theoretical (e.g. mathematicians) and in applied sciences (e.g. physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics.

Advanced Analytic Number Theory: L-Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842668
Total Pages : 313 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advanced Analytic Number Theory: L-Functions by : Carlos J. Moreno

Download or read book Advanced Analytic Number Theory: L-Functions written by Carlos J. Moreno and published by American Mathematical Soc.. This book was released on 2005 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.

From Number Theory to Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662028387
Total Pages : 702 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis From Number Theory to Physics by : Michel Waldschmidt

Download or read book From Number Theory to Physics written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is mathematically oriented; it deals mostly with ellip tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With very few prerequisites, the reader is offered a didactic exposition, which follows the author's original viewpoints, and often incorpo rates the most recent developments. As we shall explain below, there are strong relationships between the different chapters, even though every single contri bution can be read independently of the others. This volume originates in a meeting entitled Number Theory and Physics, which took place at the Centre de Physique, Les Houches (Haute-Savoie, France), on March 7 - 16, 1989. The aim of this interdisciplinary meeting was to gather physicists and mathematicians, and to give to members of both com munities the opportunity of exchanging ideas, and to benefit from each other's specific knowledge, in the area of Number Theory, and of its applications to the physical sciences. Physicists have been given, mostly through the program of lectures, an exposition of some of the basic methods and results of Num ber Theory which are the most actively used in their branch.

History of the Theory of Numbers

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Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis History of the Theory of Numbers by : Leonard Eugene Dickson

Download or read book History of the Theory of Numbers written by Leonard Eugene Dickson and published by . This book was released on 1919 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: