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Diophantine Equations and Inequalities in Algebraic Number Fields
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Diophantine Equations and Inequalities in Algebraic Number Fields

Book Details

Format Hardback or Cased Book
ISBN-10 3540520198
ISBN-13 9783540520191
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture GB
Country of Publication GB
Publication Date Apr 1st, 1991
Print length 184 Pages
Weight 490 grams
Product Classification: AlgebraNumber theoryNumerical analysis
Ksh 12,600.00
Werezi Extended Catalogue 0 in stock

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This text offers instances of generalizations of important results on diophantine equations and inequalities over rational fields to algebraic number fields. Topics included are an account of Siegel's generalized circle method and its application to Waring's problem, and Schmidt's method.
The classical circle method of Hardy and Littlewood is one of the most effective methods of additive number theory. Two examples are its success with Waring's problem and Goldbach's conjecture. In this book, Wang offers instances of generalizations of important results on diophantine equations and inequalities over rational fields to algebraic number fields. The book also contains an account of Siegel's generalized circle method and its applications to Waring's problem and additive equations and an account of Schmidt's method on diophantine equations and inequalities in several variables in algebraic number fields.

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