Abstract
We show that some power of the discriminant must appear in the upper bound of the formulation of Siegel's Lemma over a number field.
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References
Bombieri, E., Vaaler, J.: On Siegel's Lemma. Invent. Math.73, 11–32 (1983).
Gordan, P.: Über der grössten gemeinsamen factor. Math. Annalen7, 443–448 (1873).
Hecke, E.: Lectures on the Theory of Algebraic Numbers. Berlin: Springer 1981.
Schmidt, W.: On Heights of Algebraic Subspaces and Diophantine Approximation. Ann. of Math.85, 430–472 (1967).
Silverman, J.: Lower Bounds for Height Functions. Duke Math. J.51, 395–403 (1984).
Thunder, J.: Asymptotic Estimates for Rational Points of Bounded Height on Flag Varieties. Comp. Math.88, 155–186 (1993).
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First author partially supported by NSERC
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Roy, D., Thunder, J.L. A note on Siegel's Lemma over number fields. Monatshefte für Mathematik 120, 307–318 (1995). https://doi.org/10.1007/BF01294863
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DOI: https://doi.org/10.1007/BF01294863