On the Progressions Associated with a Ternary Quadratic Form PDF Download

Author: Edwin Harold Hadlock
Publisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 52

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 74

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The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

Author: Ricardo Baeza
Publisher: American Mathematical Soc.
ISBN: 082183441X
Category : Mathematics
Languages : en
Pages : 364

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Book Description
This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics. The survey articles bring readers up-to-date on research and open problems in representation theory of integral quadratic forms, the algebraic theory of finite square class fields, and developments in the theory of Witt groups of triangulated categories. The specialized articles present important developments in both the algebraic and arithmetic theory of quadratic forms, as well as connections to geometry and K-theory. The volume is suitable for graduate students and research mathematicians interested in various aspects of the theory of quadratic forms.

Author: George Brinton Thomas (Jr.)
Publisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 216

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1310

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Author: Burton W Jones
Publisher: American Mathematical Soc.
ISBN: 1614440107
Category : Mathematics
Languages : en
Pages : 223

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This monograph presents the central ideas of the arithmetic theory of quadratic forms in self-contained form, assuming only knowledge of the fundamentals of matric theory and the theory of numbers. Pertinent concepts of p -adic numbers and quadratic ideals are introduced. It would have been possible to avoid these concepts, but the theory gains elegance as well as breadth by the introduction of such relationships. Some results, and many of the methods, are here presented for the first time. The development begins with the classical theory in the field of reals from the point of view of representation theory; for in these terms, many of the later objectives and methods may be revealed. The successive chapters gradually narrow the fields and rings until one has the tools at hand to deal with the classical problems in the ring of rational integers. The analytic theory of quadratic forms is not dealt with because of the delicate analysis involved. However, some of the more important results are stated and references are given.

Author: J. W. S. Cassels
Publisher: Courier Dover Publications
ISBN: 0486466701
Category : Mathematics
Languages : en
Pages : 429

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Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.

Author: University of Florida
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 248

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Author: John B. Friedlander
Publisher: American Mathematical Soc.
ISBN: 0821849700
Category : Mathematics
Languages : en
Pages : 554

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This is a true masterpiece that will prove to be indispensable to the serious researcher for many years to come. --Enrico Bombieri, Institute for Advanced Study This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples. --Roger Heath-Brown, University of Oxford, Fellow of Royal Society This is a comprehensive and up-to-date treatment of sieve methods. The theory of the sieve is developed thoroughly with complete and accessible proofs of the basic theorems. Included is a wide range of applications, both to traditional questions such as those concerning primes, and to areas previously unexplored by sieve methods, such as elliptic curves, points on cubic surfaces and quantum ergodicity. New proofs are given also of some of the central theorems of analytic number theory; these proofs emphasize and take advantage of the applicability of sieve ideas. The book contains numerous comments which provide the reader with insight into the workings of the subject, both as to what the sieve can do and what it cannot do. The authors reveal recent developements by which the parity barrier can be breached, exposing golden nuggets of the subject, previously inaccessible. The variety in the topics covered and in the levels of difficulty encountered makes this a work of value to novices and experts alike, both as an educational tool and a basic reference.

Author: Heini Halberstam
Publisher: Courier Corporation
ISBN: 0486479390
Category : Mathematics
Languages : en
Pages : 386

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Originally published: London; New York: Academic Press, 1974.