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Quartic index form
equations and monogenizations of quartic orders
Shabnam Akhtari |
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Vol. 1 (2022), No. 1, 57–72
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Abstract |
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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. |
Keywords
monogenizations of a quartic order, index form equations,
Thue equations
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Mathematical Subject Classification
Primary: 11D25, 11D45, 11R04, 11R16
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Milestones
Received: 18 March 2022
Revised: 22 June 2022
Accepted: 28 June 2022
Published: 26 October 2022
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Authors |
| Shabnam Akhtari | |
| Department of Mathematics University of Oregon Eugene, OR United States |
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