Igor E. Shparlinski
Published 2007-07-23Version 1
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.
On two exponents of approximation related to a real number and its square
Approximation to points in the plane by SL(2,Z)-orbits
Approximation of Sums of Primes
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