Sets whose sumset avoids a thin sequence |
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| Authors: | Vishaal Kapoor |
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| Institution: | University of British Columbia, Department of Mathematics, Room 121, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada |
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| Abstract: | Let {a1,a2,a3,…} be an unbounded sequence of positive integers with an+1/an approaching α as n→∞, and let β>max(α,2). We show that for all sufficiently large x?0, if A⊂0,x] is a set of nonnegative integers containing 0 and satisfying |
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| Keywords: | Additive bases Sumsets Sequences |
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