Overview
Provides a complete reference on index form equations and power integral bases
Describes algorithms and methods to efficiently solve several different types of classical Diophantine equations
Includes detailed numerical examples that demonstrate how the various methods of calculating index form equations can be applied
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Table of contents (16 chapters)
Keywords
About this book
Notations, definitions, and tools are presented before moving on to applications to Thue equations and norm form equations. The structure of index forms is explained, which allows readers to approach several types of number fields with ease. Detailed numerical examples, particularly the tables of data calculated by the presented methods at the end of the book, will help readers see how the material can be applied.
Diophantine Equations and Power Integral Bases will be ideal for graduate students and researchers interested in the area. A basic understanding of number fields and algebraic methods to solve Diophantine equations is required.
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Bibliographic Information
Book Title: Diophantine Equations and Power Integral Bases
Book Subtitle: Theory and Algorithms
Authors: István Gaál
DOI: https://doi.org/10.1007/978-3-030-23865-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23864-3Published: 19 September 2019
Softcover ISBN: 978-3-030-23867-4Published: 19 September 2020
eBook ISBN: 978-3-030-23865-0Published: 03 September 2019
Edition Number: 2
Number of Pages: XXII, 326
Number of Illustrations: 2 illustrations in colour
Topics: Number Theory