Diophantine Equations and Power Integral Bases Theory and Algorithms /

• Κύριος συγγραφέας: Gaál, István (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 2nd ed. 2019.
• Θέματα: Number theory.; Number Theory.

This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations. In order to more efficiently determine generators of power integral bases, several algorithms and methods are presented to readers, many of which are n...

Πίνακας περιεχομένων:

• 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.