Diophantine Equations and Power Integral Bases
Springer International Publishing (Verlag)
978-3-030-23867-4 (ISBN)
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.
"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)
“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)
| Erscheinungsdatum | 22.09.2020 |
|---|---|
| Zusatzinfo | XXII, 326 p. 2 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 534 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | algebraic number theory • Algorithmic Analysis • Baker's method solution • Diophantine equation • Diophantine equation solutions • Index form equations • Norm form equations • Number Fields • Number Theory • Power integral bases • Thue equations |
| ISBN-10 | 3-030-23867-9 / 3030238679 |
| ISBN-13 | 978-3-030-23867-4 / 9783030238674 |
| Zustand | Neuware |
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