Strong characterizing sequences in simultaneous diophantine approximation |
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| Authors: | András Biró Vera T Sós |
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| Institution: | A. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15., 1053 Budapest, Hungary |
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| Abstract: | Answering a question of Liardet, we prove that if 1,α1,α2,…,αt are real numbers linearly independent over the rationals, then there is an infinite subset A of the positive integers such that for real β, we have (|||| denotes the distance to the nearest integer) |
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| Keywords: | Characterizing sequences Bohr sets Freiman's theorem |
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