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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Computing all power integral bases of cubic fields

Authors: I. Gaál and N. Schulte
Journal: Math. Comp. 53 (1989), 689-696
MSC: Primary 11R16; Secondary 11D25, 11Y40
MathSciNet review: 979943
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Abstract: Applying Baker’s effective method and the reduction procedure of Baker and Davenport, we present several lists of solutions of index form equations in (totally real and complex) cubic algebraic number fields. These solutions yield all power integral bases of these fields.

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Keywords: Computer solution of Diophantine equations, index form equation, Thue equation, Davenport’s lemma, power integral bases
Article copyright: © Copyright 1989 American Mathematical Society