István Gaál

Diophantine Equations and Power Integral Bases

Theory and Algorithms

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Birkhäuser / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-23864-3
• 2. Aufl.
• Seitenzahl: 348
• Erscheinungstermin: 19. September 2019
• Englisch
• Abmessung: 241mm x 160mm x 25mm
• Gewicht: 693g
• ISBN-13: 9783030238643
• ISBN-10: 3030238644
• Artikelnr.: 56804378

Inhaltsangabe

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.

Rezensionen

"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)