Lower bounds for heights in cyclotomic extensions

M.I.M. Ishak,Michael J. Mossinghoff,Christopher Pinner,Benjamin Wiles

Journal of Number Theory（2010）

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摘要

We show that the height of a nonzero algebraic number α that lies in an abelian extension of the rationals and is not a root of unity must satisfy h(α)>0.155097.

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