Selecta: Diophantine problems and polynomials

Selecta: Diophantine problems and polynomials PDF Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554

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Book Description

Selecta: Diophantine problems and polynomials

Selecta: Diophantine problems and polynomials PDF Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554

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Book Description


Diophantus and Diophantine Equations

Diophantus and Diophantine Equations PDF Author: Isabella Grigoryevna Bashmakova
Publisher: American Mathematical Soc.
ISBN: 1470450496
Category : Mathematics
Languages : en
Pages : 90

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Book Description
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus--a person whose very existence has long been doubted by most historians of mathematics--will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the.

Number Theory in Progress: Diophantine problems and polynomials

Number Theory in Progress: Diophantine problems and polynomials PDF Author: Kálmán Györy
Publisher: de Gruyter
ISBN:
Category : Mathematics
Languages : en
Pages : 612

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Book Description
Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.

Diophantine Sets Over Polynomial Rings

Diophantine Sets Over Polynomial Rings PDF Author: Martin Davis
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 34

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Book Description
IT IS PROVED THAT EVERY R CURSIVELY ENUMERABLE SET IS Diophantine over a given polynomial ring. (Author).

Diophantine Problems and Polynomials

Diophantine Problems and Polynomials PDF Author: Andrzej Schinzel
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Selected Topics on Polynomials

Selected Topics on Polynomials PDF Author: Andrzej Schinzel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 280

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Book Description


Diophantine Approximation

Diophantine Approximation PDF Author: Robert F. Tichy
Publisher: Springer Science & Business Media
ISBN: 3211742808
Category : Mathematics
Languages : en
Pages : 416

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Book Description
This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.

Number Theory

Number Theory PDF Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 0387499237
Category : Mathematics
Languages : en
Pages : 673

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Book Description
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.

Discriminant Equations in Diophantine Number Theory

Discriminant Equations in Diophantine Number Theory PDF Author: Jan-Hendrik Evertse
Publisher: Cambridge University Press
ISBN: 1107097614
Category : Mathematics
Languages : en
Pages : 477

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Book Description
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.

Number Theory

Number Theory PDF Author: Henri Cohen
Publisher: Springer
ISBN: 9780387499222
Category : Mathematics
Languages : en
Pages : 0

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Book Description
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.