Approximation by Several Rationals
Number Theory
2007-07-24 v1
Abstract
Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a_1/q_1, ..., a_n/q_n with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q_1,..., q_n, one can improve a result of T. H. Chan by using a different approach.
Cite
@article{arxiv.0707.3371,
title = {Approximation by Several Rationals},
author = {Igor E. Shparlinski},
journal= {arXiv preprint arXiv:0707.3371},
year = {2007}
}