Diophantine Equations

  • Emil Grosswald
Part of the Modern Birkhäuser Classics book series (MBC)


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.


Rational Point Double Point Diophantine Equation Riemann Hypothesis Rational Integer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Emil Grosswald
    • 1
  1. 1.Department of MathematicsTemple UniversityPhiladelphiaUSA

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