Rational numbers with small denominators in short intervals
Number Theory
2024-02-27 v2
Abstract
We use bounds on bilinear forms with Kloosterman fractions and improve the error term in the asymptotic formula of Balazard and Martin (2023) on the average value of the smallest denominators of rational numbers in short intervals.
Cite
@article{arxiv.2311.16640,
title = {Rational numbers with small denominators in short intervals},
author = {Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2311.16640},
year = {2024}
}