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Note on a Diophantine inequality in several variables

Jeffrey Barton, Hugh Montgomery, Jeffrey Vaaler

Source record

Source: Crossref

Published: Aug 28, 2000

DOI: 10.1090/s0002-9939-00-05795-6

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Source abstract

We establish estimates for the number of points that belong to an aligned box in ( R / Z ) N (\mathbb {R}/\mathbb {Z})^N in terms of certain exponential sums. These generalize previous results that were known only in case N = 1 N=1 .

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Note on a Diophantine inequality in several variables — Mathematical Frontier Network