Diophantine Inequalities

Author : H. Davenport
Publisher : Cambridge University Press
Page : 160 pages
File Size : 55,8 Mb
Release : 2005-02-07
Category : Mathematics
ISBN : 0521605830

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Analytic Methods for Diophantine Equations and Diophantine Inequalities by H. Davenport Pdf

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.

Author : Roger Clive Baker
Publisher : Oxford University Press, USA
Page : 298 pages
File Size : 40,6 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015015607867

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Diophantine Inequalities by Roger Clive Baker Pdf

Starting with the work of I.M. Vinogradov and H. Heilbronn, the author develops the theme of nonlinear Diophantine approximation in a number of different directions.

Author : Alexander Schrijver
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 43,5 Mb
Release : 1998-06-11
Category : Mathematics
ISBN : 0471982326

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Theory of Linear and Integer Programming by Alexander Schrijver Pdf

Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.

Author : Harold Davenport
Publisher : Unknown
Page : 186 pages
File Size : 45,8 Mb
Release : 1962
Category : Diophantine analysis
ISBN : UOM:39015038956457

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Analytic Methods for Diophantine Equations and Diophantine Inequalities by Harold Davenport Pdf

Author : Yuan Wang
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642581717

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Diophantine Equations and Inequalities in Algebraic Number Fields by Yuan Wang Pdf

The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s(k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert [1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 55,7 Mb
Release : 2000-07-19
Category : Mathematics
ISBN : 0387988009

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Collected Papers III by Serge Lang Pdf

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.

Author : Geretschlager Robert,Kalinowski Jozef,Svrcek Jaroslav
Publisher : World Scientific
Page : 292 pages
File Size : 42,5 Mb
Release : 2017-11-29
Category : Mathematics
ISBN : 9789813223929

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Central European Olympiad, A: The Mathematical Duel by Geretschlager Robert,Kalinowski Jozef,Svrcek Jaroslav Pdf

This book contains the most interesting problems from the first 24 years of the "Mathematical Duel," an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic. The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Contents: IntroductionNumber TheoryAlgebraCombinatoricsGeometry4! Years of Problems Readership: General public, students and teachers preparing for olympiad-style mathematical competitions Keywords: Mathematics Competition;Problem SolvingReview: Key Features: The wide selection of problems makes it especially interesting for students and teachers preparing for olympiad-style mathematical competitionsThe participants in this particular competition range in age from 13 to 18, and the problems are created with this wide range in mindAny interested reader is bound to find something interesting to suit their own level of experience

Author : M. Hazewinkel
Publisher : Springer
Page : 967 pages
File Size : 49,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781489937957

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Encyclopaedia of Mathematics by M. Hazewinkel Pdf

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 41,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400959941

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Encyclopaedia of Mathematics by Michiel Hazewinkel Pdf

Author : Mogens Nielsen,Branislav Rovan
Publisher : Springer
Page : 710 pages
File Size : 55,8 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540446125

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Mathematical Foundations of Computer Science 2000 by Mogens Nielsen,Branislav Rovan Pdf

This book constitutes the refereed proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science, MFCS 2000, held in Bratislava/Slovakia in August/September 2000. The 57 revised full papers presented together with eight invited papers were carefully reviewed and selected from a total of 147 submissions. The book gives an excellent overview on current research in theoretical informatics. All relevant foundational issues, from mathematical logics as well as from discrete mathematics are covered. Anybody interested in theoretical computer science or the theory of computing will benefit from this book.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,8 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9789814466240

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Number Theory by Anonim Pdf

Author : Takashi Aoki,Shigeru Kanemitsu,Jianya Liu
Publisher : World Scientific
Page : 267 pages
File Size : 52,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814289924

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Number Theory by Takashi Aoki,Shigeru Kanemitsu,Jianya Liu Pdf

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka''s paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning''s paper introduces a new direction of research on analytic number theory OCo quantitative theory of some surfaces and Bruedern et al ''s paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms OCo Kohnen''s paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu''s paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al ''s paper gives a very thorough survey on functional relations of root system zeta-functions, HoshiOCoMiyake''s paper is a continuation of Miyake''s long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia''s paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura''s paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students. Sample Chapter(s). Chapter 1: Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (329 KB). Contents: Recent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (T D Browning); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (J Brdern et al.); Recent Progress on Dynamics of a Special Arithmetic Function (C-H Jia); Some Diophantine Problems Arising from the Isomorphism Problem of Generic Polynomials (A Hoshi & K Miyake); A Statistical Relation of Roots of a Polynomial in Different Local Fields II (Y Kitaoka); Generalized Modular Functions and Their Fourier Coefficients (W Kohnen); Functional Relations for Zeta-Functions of Root Systems (Y Komori et al.); A Quick Introduction to Maass Forms (J-Y Liu); The Number of Non-Zero Coefficients of a Polynomial-Solved and Unsolved Problems (A Schinzel); Open Problems on Exponential and Character Sums (I E Shparlinski); Errata to OC A General Modular Relation in Analytic Number TheoryOCO (H Tsukada); Bibliography on Determinantal Expressions of Relative Class Numbers of Imaginary Abelian Number Fields (K Yamamura). Readership: Graduate students and researchers in mathematics.

Author : Anonim
Publisher : Cambridge University Press
Page : 248 pages
File Size : 45,9 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9780521573474

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The Hardy-Littlewood Method by Anonim Pdf

Author : Anonim
Publisher : Elsevier
Page : 285 pages
File Size : 49,6 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 9780080954127

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Algebraic Numbers and Harmonic Analysis by Anonim Pdf

Algebraic Numbers and Harmonic Analysis

Author : Percy A. MacMahon
Publisher : Courier Corporation
Page : 770 pages
File Size : 47,7 Mb
Release : 2004-07-06
Category : Mathematics
ISBN : 0486495868

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Combinatory Analysis by Percy A. MacMahon Pdf

Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.