Algebraic numbers of small Weil's height in CM-fields: On a theorem of Schinzel
نویسندگان
چکیده
منابع مشابه
Algebraic Numbers of Small Weil’s height in CM-fields: on a Theorem of Schinzel∗
E. Bombieri and U. Zannier, motivated also by the above result, asked (private communication to the first author) for an absolute lower bound for the height of non-zero algebraic numbers lying in a complex abelian extension outside the set of roots of unity. This question was solved by R. Dvornicich and the first author (see [AmoDvo 2000]), who proved that for any α in a complex abelian extensi...
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چکیده ندارد.
15 صفحه اولComputing algebraic numbers of bounded height
We describe an algorithm which, given a number field K and a bound B, finds all the elements of K having relative height at most B. Two lists of numbers are computed: one consisting of elements x ∈ K for which it is known with certainty that HK(x) ≤ B, and one containing elements x such that |HK(x)− B| < θ for a tolerance θ chosen by the user. We show that every element of K whose height is at ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2007
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.04.005