Constructing complete tables of quartic fields using Kummer theory
نویسندگان
چکیده
We explain how to construct tables of quartic fields of discriminant less than or equal to a given bound in an efficient manner using Kummer theory, instead of the traditional (and much less efficient) method using the geometry of numbers. As an application, we describe the computation of quartic fields of discriminant up to 107, the corresponding table being available by anonymous ftp.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 72 شماره
صفحات -
تاریخ انتشار 2003