ON ALGEBRAIC-NUMBERS OF SMALL HEIGHT - LINEAR-FORMS IN ONE LOGARITHM

[摘要] We produce a lower bound for \alpha - 1\ when alpha is an algebraic number with relatively small height. The bound is rather sharp in the dependence on the degree of alpha. The proof rests on the transcendence method of Schneider, but with Siegel's lemma replaced by Laurent's interpolation determinant. (C) 1994 Academic Press, Inc.

[发布日期] 1994-04-01