Auxiliary Polynomials in Number Theory PDF Download
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Author: David Masser
Publisher: Cambridge University Press
ISBN: 131667763X
Category : Mathematics
Languages : en
Pages : 367
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Book Description
This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a 'molecular' fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.
Author: David Masser
Publisher: Cambridge University Press
ISBN: 131667763X
Category : Mathematics
Languages : en
Pages : 367
Get Book
Book Description
This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a 'molecular' fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.
Author: David William Masser
Publisher:
ISBN: 9781316677995
Category : Number theory
Languages : en
Pages :
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Book Description
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Author: David Masser
Publisher: Cambridge University Press
ISBN: 1107061571
Category : Mathematics
Languages : en
Pages : 367
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Book Description
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Author: Gove W. Effinger
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This book helps gather the sum of additive number theory.
Author: James Fraser McKee
Publisher: Cambridge University Press
ISBN: 0521714672
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Author: Alan Baker
Publisher: Cambridge University Press
ISBN: 100922994X
Category : Computers
Languages : en
Pages : 185
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Book Description
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author: Tristin Cleveland
Publisher: Scientific e-Resources
ISBN: 1839473266
Category :
Languages : en
Pages : 328
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Book Description
In spite of the fact that arithmetic majors are generally familiar with number hypothesis when they have finished a course in conceptual polynomial math, different students, particularly those in training and the human sciences, regularly require a more essential prologue to the theme. In this book the writer takes care of the issue of keeping up the enthusiasm of understudies at the two levels by offering a combinatorial way to deal with basic number hypothesis. In concentrate number hypothesis from such a point of view, arithmetic majors are saved reiteration and furnished with new bits of knowledge, while different understudies advantage from the subsequent effortlessness of the verifications for some hypotheses. Of specific significance in this content is the creator's accentuation on the estimation of numerical cases in number hypothesis and the part of PCs in getting such illustrations. The point of this book is to acquaint the reader with essential subjects in number hypothesis: hypothesis of distinctness, arithmetrical capacities, prime numbers, geometry of numbers, added substance number hypothesis, probabilistic number hypothesis, hypothesis of Diophantine approximations and logarithmic number hypothesis.
Author: Yoichi Motohashi
Publisher: Cambridge University Press
ISBN: 0521625122
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.
Author: B. Berndt
Publisher: Springer Science & Business Media
ISBN: 1461234646
Category : Mathematics
Languages : en
Pages : 557
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Book Description
On April 25-27, 1989, over a hundred mathematicians, including eleven from abroad, gathered at the University of Illinois Conference Center at Allerton Park for a major conference on analytic number theory. The occa sion marked the seventieth birthday and impending (official) retirement of Paul T. Bateman, a prominent number theorist and member of the mathe matics faculty at the University of Illinois for almost forty years. For fifteen of these years, he served as head of the mathematics department. The conference featured a total of fifty-four talks, including ten in vited lectures by H. Delange, P. Erdos, H. Iwaniec, M. Knopp, M. Mendes France, H. L. Montgomery, C. Pomerance, W. Schmidt, H. Stark, and R. C. Vaughan. This volume represents the contents of thirty of these talks as well as two further contributions. The papers span a wide range of topics in number theory, with a majority in analytic number theory.
Author: Larry Guth
Publisher: American Mathematical Soc.
ISBN: 1470428903
Category : Combinatorial analysis
Languages : en
Pages : 273
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Book Description
This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.
