Algebraic Numbers of Small Weil’s height in CM-fields: on a Theorem of Schinzel∗
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چکیده
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 extension, α 6= 0 and α not a root of unity, we have
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تاریخ انتشار 2009