Number Theory in OSCAR
Number Theory
2024-04-11 v1
Abstract
We give a brief introduction to computational algebraic number theory in OSCAR. Our main focus is on number fields, rings of integers and their invariants. After recalling some classical results and their constructive counterparts, we showcase the functionality in two examples related to the investigation of the Cohen-Lenstra heuristic for quadratic fields and the Galois module structure of rings of integers.
Keywords
Cite
@article{arxiv.2404.06858,
title = {Number Theory in OSCAR},
author = {Claus Fieker and Tommy Hofmann},
journal= {arXiv preprint arXiv:2404.06858},
year = {2024}
}
Comments
Submitted as chapter for the upcoming book on the computer algebra system OSCAR