Approximating reals by sums of rationals

  title={Approximating reals by sums of rationals},
  author={Tsz Ho Chan},
  journal={Journal of Number Theory},
  • T. Chan
  • Published 21 March 2005
  • Mathematics
  • Journal of Number Theory
  • 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
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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
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


Approximating reals by sums of two rationals
We generalize Dirichlet's diophantine approximation theorem to approximating any real number $\alpha$ by a sum of two rational numbers $\frac{a_1}{q_1} + \frac{a_2}{q_2}$ with denominators $1 \leq
An Introduction to the Theory of Numbers
THIS book must be welcomed most warmly into X the select class of Oxford books on pure mathematics which have reached a second edition. It obviously appeals to a large class of mathematical readers.
Diophantine Inequalities
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The Method of Trigonometrical Sums in the Theory of Numbers
A course in combinatorics
Soc. Monogr. (N.S.)
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U.S.A. thchan@aimath
  • U.S.A. thchan@aimath
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  • 2005