Quartic Index Form Equations and Monogenizations of Quartic Orders
arXiv:2203.10235 · doi:10.2140/ent.2022.1.57
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.
a version of this article has been accepted for publication in Essential Number Theory