Cyclic Polytope of the Simplest Cubic Fields
نویسندگان
چکیده
We study dilations of cyclic polytopes with the vertices defined by a generator simplest cubic fields. In particular, for specific range values, we give precise number contained lattice points.
منابع مشابه
Class Numbers of the Simplest Cubic Fields
Using the "simplest cubic fields" of D. Shanks, we give a modified proof and an extension of a result of Uchida, showing how to obtain cyclic cubic fields with class number divisible by n, for any n. Using 2-descents on elliptic curves, we obtain precise information on the 2-Sylow subgroups of the class groups of these fields. A theorem of H. Heilbronn associates a set of quartic fields to the ...
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ژورنال
عنوان ژورنال: Discrete and Computational Geometry
سال: 2022
ISSN: ['1432-0444', '0179-5376']
DOI: https://doi.org/10.1007/s00454-021-00369-2