Cubic Fields with Geometry

The objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both in terms of the geometry of numbers and geometry of the associated cubic Diophantine equations that are similar in many ways to the Pell equ...

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Bibliographic Details
Main Author: Hambleton, Samuel A. (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Algebraic geometry.
Number theory.
Algorithms.
ISBN:9783030014049
ISSN:1613-5237
Online Access: Get full text
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Table of Contents:
  • Chapter 1- Cubic fields
  • Chapter 2- Cubic ideals and lattices
  • Chapter 3- Binary cubic forms
  • Chapter 4- Construction of all cubic fields of a fixed fundamental discriminant (Renate Scheidler)
  • Chapter 5- Cubic Pell equations
  • Chapter 6- The minima of forms and units by approximation
  • Chapter 7- Voronoi's theory of continued fractions
  • Chapter 8- Relative minima adjacent to 1 in a reduced lattice
  • Chapter 9- Parametrization of norm 1 elements of K
  • Tables and References
  • Author Index
  • Symbol Index
  • General Index.

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