2022
DOI: 10.48550/arxiv.2203.10235
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Quartic Index Form Equations and Monogenizations of Quartic Orders

Shabnam Akhtari1

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.

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