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Diophantine Equations

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Topics from the Theory of Numbers

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

The following is the introductory section of the chapter on Diophantine Equations of the first edition of the present book. It was written about 20 years ago and is reproduced here in full:

“In Chapter 4 we considered linear congruences, or equivalently, linear Diophantine equations, and found that the questions one may be interested to ask generally have simple, straightforward answers. Therefore, it may come as something of a surprise to the reader that for nonlinear Diophantine equations hardly any general results were known even 40–50 years ago. Actually, even today we are reduced in most cases to studying individual equations rather than classes of equations, and one can hardly consider the results very satisfactory.

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Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, Pennsylvania, 19122, USA

    Emil Grosswald

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  1. Emil Grosswald
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© 1984 Springer Science+Business Media New York

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Grosswald, E. (1984). Diophantine Equations. In: Topics from the Theory of Numbers. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4838-1_13

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  • DOI: https://doi.org/10.1007/978-0-8176-4838-1_13

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-4837-4

  • Online ISBN: 978-0-8176-4838-1

  • eBook Packages: Springer Book Archive

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