# Approximating reals by sums of rationals

@article{Chan2008ApproximatingRB,
title={Approximating reals by sums of rationals},
author={Tsz Ho Chan},
journal={Journal of Number Theory},
year={2008},
volume={128},
pages={1182-1194}
}
• T. Chan
• Published 21 March 2005
• Mathematics
• Journal of Number Theory
APPROXIMATION BY SEVERAL RATIONALS
• I. Shparlinski
• Mathematics
Bulletin of the Australian Mathematical Society
• 2008
Abstract Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q1,…,an/qn with smaller denominators. We show that in
Modular hyperbolas
We give a survey of a variety of recent results about the distribution and some geometric properties of points (x, y) on modular hyperbolas $${xy \equiv a\;(\mod m)}$$. We also outline a very diverse
Lehmer points and visible points on affine varieties over finite fields
• Mathematics
Mathematical Proceedings of the Cambridge Philosophical Society
• 2013
Abstract Let V be an absolutely irreducible affine variety over $\mathbb{F}_p$. A Lehmer point on V is a point whose coordinates satisfy some prescribed congruence conditions, and a visible point is

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