A note on a result of Mahler's

Luthar, Indar S. (1966) A note on a result of Mahler's Journal of the Australian Mathematical Society, 6 . pp. 399-401. ISSN 1446-7887

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Related URL: http://dx.doi.org/10.1017/S1446788700004870


In a recent paper, Maher [2] proved that for any algebraic number field K of degree n and discriminant d there exists a constant C depending only on n and d such that for any ceiling λP of K there exists a basis α1 ..., αn of the corresponding ideal αλ such that C-(n-1)λ(q) ≤ |αk|q ≤ Cλ(q) for all q; C-n λ(τ) ≤ |αk|τ ≤ λ(τ) for all r; (k = 1, 2, ..., n).

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