Diophantine Equations and Power Integral Bases

New Computational Methods

  • István Gaál

Table of contents

  1. Front Matter
    Pages i-xvii
  2. István Gaál
    Pages 1-5
  3. István Gaál
    Pages 7-17
  4. István Gaál
    Pages 19-44
  5. István Gaál
    Pages 45-52
  6. István Gaál
    Pages 53-54
  7. István Gaál
    Pages 55-77
  8. István Gaál
    Pages 79-95
  9. István Gaál
    Pages 97-112
  10. István Gaál
    Pages 113-127
  11. István Gaál
    Pages 129-147
  12. István Gaál
    Pages 149-170
  13. Back Matter
    Pages 171-184

About this book


This monograph investigates algorithms for determining power integral bases in algebraic number fields. It introduces the best-known methods for solving several types of diophantine equations using Baker-type estimates, reduction methods, and enumeration algorithms. Particular emphasis is placed on properties of number fields and new applications. The text is illustrated with several tables of various number fields, including their data on power integral bases. Good resource for solving classical types of diophantine equations. Aimed at advanced undergraduate/graduate students and researchers.


Algebraic Number Theory Algorithmic Analysis Finite Mathematics of Computing algebra algorithms calculus equation mathematics number theory

Authors and affiliations

  • István Gaál
    • 1
  1. 1.Institute of Mathematics and InformaticsUniversity of DebrecenHungary

Bibliographic information

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