Orders with few rational monogenizations

DOI10.4064/aa230120-16-7arXiv2301.01552MaRDI QIDQ6071864

Jan-Hendrik Evertse

Publication date: 29 November 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.01552

zbMATH Keywords

ordersunit equations\(\mathrm{GL}_2(\mathbb{Z})\)-equivalenceinvariant orders of binary formsrational monogenizationrationally monogenic orders

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Algebraic numbers; rings of algebraic integers (11R04) Schmidt Subspace Theorem and applications (11J87)

Cites Work

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• The index of nonmonic polynomials
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• On the number of equivalence classes of binary forms of given degree and given discriminant
• On the number of monogenizations of a quartic order (with an appendix by Shabnam Akhtari)
• Finiteness Theorems for Binary Forms with Given Discriminant
• Sur les polynômes à coefficients entiérs et de discriminant donné
• Hermite equivalence of polynomials

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