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Diophantine Equations and Power Integral Bases

New Computational Methods

Authors: Gaal, Istvan

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  • ISBN 978-1-4612-0085-7
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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.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0085-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Diophantine Equations and Power Integral Bases
Book Subtitle
New Computational Methods
Authors
Copyright
2002
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-0085-7
DOI
10.1007/978-1-4612-0085-7
Edition Number
1
Number of Pages
208
Topics