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
View PDF on arXiv
3 Citations
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    Bulletin of the Australian Mathematical Society
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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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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…

References

SHOWING 1-8 OF 8 REFERENCES
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
  • London Math. Soc. Monogr. (N.S.), vol. 1, Oxford Univ. Press, New York
  • 1986
The Method of Trigonometrical Sums in the Theory of Numbers
A course in combinatorics
Soc. Monogr. (N.S.)
  • Soc. Monogr. (N.S.)
  • 1986
U.S.A. thchan@aimath
  • U.S.A. thchan@aimath
Finding Almost Squares II, preprint
  • Finding Almost Squares II, preprint
  • 2005