Auxiliary Polynomials In Number Theory
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Auxiliary Polynomials in Number Theory
Author: David Masser
language: en
Publisher: Cambridge University Press
Release Date: 2016-07-21
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Auxiliary Polynomials in Number Theory
Author: David Masser
language: en
Publisher: Cambridge University Press
Release Date: 2016-07-21
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.
Number Theory and Polynomials
Author: James Fraser McKee
language: en
Publisher: Cambridge University Press
Release Date: 2008-05-08
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.