Diophantine Equations and Power Integral Bases
Theory and Algorithms
(Sprache: Englisch)
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational...
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Klappentext zu „Diophantine Equations and Power Integral Bases “
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Inhaltsverzeichnis zu „Diophantine Equations and Power Integral Bases “
Introduction.- Auxiliary results, tools.- Thue equations.- Inhomogeneous Thue equations.- Relative Thue equations.- The resolution of norm form equations.- Index form equations in general.- Cubic fields.- Quartic fields.- Quintic fields.- Sextic fields.- Pure fields.- Cubic relative extensions.- Quartic relative extensions.- Some higher degree fields.- Tables.
Bibliographische Angaben
- Autor: István Gaál
- 2019, 2. Aufl., XXII, 326 Seiten, 326 farbige Abbildungen, Masse: 15,8 x 24,3 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030238644
- ISBN-13: 9783030238643
Sprache:
Englisch
Pressezitat
"The book is recommended to PhD students and researchers in the field of Diophantine equations. It can be used as a textbook for a specialized graduate course in Thue and index-form equations and as an additional reading for a general course in Diophantine equations." (Andrej Dujella, zbMATH 1465.11090, 2021)
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