Lattice Points Close to a Smooth Curve and Squarefull Numbers in Short Intervals |
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Authors: | Trifonov Ognian |
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Affiliation: | Mathematics Department, University of South Carolina Columbia, SC 29208, USA, trifonov{at}math.sc.edu |
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Abstract: | An approach of Swinnerton-Dyer is extended to obtain new upperbounds for the number of lattice points close to a smooth curve.One consequence of these bounds is a new asymptotic result forthe distribution of squarefull numbers in short intervals. |
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