Arch. Math.
 2024
DOI: 10.1007/s00013-024-01993-z
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Rational numbers with small denominators in short intervals

Igor E. Shparlinski

Abstract: We use bounds on bilinear forms with Kloosterman fractions and improve the error term in the asymptotic formula of Balazard and Martin (Bull Sci Math 187:Art. 103305, 2023) on the average value of the smallest denominators of rational numbers in short intervals.

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