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Auxiliary polynomials in number theory

Masser, David William, (1948-)

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Auxiliary polynomials in number theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Auxiliary polynomials in number theory/ David Masser, Universitat Basel, Switzerland.
作者:	Masser, David William,
出版者:	Cambridge :Cambridge University Press, : 2016.,
面頁冊數:	xviii, 348 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 04 Jul 2016).
標題:	Number theory. -
電子資源:	https://doi.org/10.1017/CBO9781107448018
ISBN:	9781107448018

Auxiliary polynomials in number theory
Masser, David William,1948-

Auxiliary polynomials in number theory[electronic resource] /David Masser, Universitat Basel, Switzerland. - Cambridge :Cambridge University Press,2016. - xviii, 348 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;207. - Cambridge tracts in mathematics ;207..

Title from publisher's bibliographic system (viewed on 04 Jul 2016).

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.

ISBN: 9781107448018Subjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241 / .M395 2016

Dewey Class. No.: 512.74

Auxiliary polynomials in number theory
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520 $a 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.
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