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Auxiliary Polynomials in Number Theory

Name: Auxiliary Polynomials in Number Theory
Brand: Cambridge University Press
SKU: 02895862
Price: 152.39 EUR
Availability: InStock
Author: David Masser
ISBN: 9781107061576

David Masser

Lingua

Inglese

Libro Rigido

Codice Libristo: 02895862

Casa editrice Cambridge University Press, luglio 2016

This unified account of various aspects of a powerful classical method, easy to understand in its si... Descrizione completa

Codice Libristo: 02895862

373 b

152.39 €

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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 Master's students in number theory or related areas. It provides 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.