Quartic Index Form Equations and Monogenizations of Quartic Orders
Number Theory
2022-10-26 v2
Abstract
Some upper bounds for the number of monogenizations of quartic orders are established by considering certain classical Diophantine equations, namely index form equations in quartic number fields, and cubic and quartic Thue equations.
Cite
@article{arxiv.2203.10235,
title = {Quartic Index Form Equations and Monogenizations of Quartic Orders},
author = {Shabnam Akhtari},
journal= {arXiv preprint arXiv:2203.10235},
year = {2022}
}
Comments
a version of this article has been accepted for publication in Essential Number Theory