Gaál, István (2020) Monogenity in totally complex sextic fields, revisited. JP JOURNAL OF ALGEBRA, NUMBER THEORY AND APPLICATIONS, 47 (1). pp. 87-98. ISSN 0972-5555
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Abstract
In addition to rather complicated general methods it is interesting and valuable to develop fast efficient methods for calculating generators of power integral bases in special types of number fields. We consider sextic fields containing real cubic and complex quadratic fields. We develop a very simple and very efficient method to calculate generators of power integral bases in this type of fields. Our method can be applied to infinite families of number fields, as well. We substantially improve the former methods. Our algorithm is illustrated with detailed examples, involving infinite parametric families.
| Item Type: | Article |
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| Uncontrolled Keywords: | Thue equations; power integral basis; sextic fields; monogenity; calculating the solutions; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Feb 2023 13:07 |
| Last Modified: | 10 Feb 2023 13:07 |
| URI: | http://real.mtak.hu/id/eprint/158755 |
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