largesse
发表于 2025-3-23 12:27:05
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G-spot
发表于 2025-3-23 15:17:49
Kenneth S. Alexander,Joseph C. Watkinsrties, makes the resolution of index form equations much easier. A special situation (which otherwise is frequent in numerical examples) is considered in Section 4.4, when the field . is the composite of its subfields. The general results on composite fields have several applications, see e.g., Sections 8.3, 10.2, 10.3.1 and 10.3.3.
PATHY
发表于 2025-3-23 18:56:15
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没花的是打扰
发表于 2025-3-24 00:27:24
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COMMA
发表于 2025-3-24 06:21:18
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奴才
发表于 2025-3-24 08:53:19
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CUB
发表于 2025-3-24 11:11:29
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Dysarthria
发表于 2025-3-24 17:28:04
Sextic Fields,An analogue of the general method used for quintic fields, reducing the index form equation directly to unit equations, does not seem to be feasible in sextic fields.
surmount
发表于 2025-3-24 22:08:28
Introduction,s. As we shall see, this algorithmic problem is satisfactorily solved for lower degree number fields (especially for cubic and quartic fields) and there are efficient methods for certain classes of higher degree fields. Our algorithms enable us in many cases to describe all power integral bases also in . of certain number fields.
占卜者
发表于 2025-3-25 02:01:26
Quartic Fields,ex form equation can be reduced to a cubic and some corresponding quartic Thue equations (see Section 6.1). This means that in fact the index form equations in quartic fields are not much harder to solve than in the cubic case.