TY - JOUR
T1 - Approximation by several rationals
AU - Shparlinski, Igor E.
N1 - Copyright 2008 Cambridge University Press. Article originally published in Bulletin of the Australian Mathematical Society, Volume 77, Issue 2, pp. 325-329. The original article can be found at http://dx.doi.org/10.1017/S0004972708000373
PY - 2008/4
Y1 - 2008/4
N2 - Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q 1,...,an/qn with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q1,...,qn, one can improve a result of T. H. Chan by using a different approach.
AB - Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q 1,...,an/qn with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q1,...,qn, one can improve a result of T. H. Chan by using a different approach.
UR - http://www.scopus.com/inward/record.url?scp=44949154379&partnerID=8YFLogxK
U2 - 10.1017/S0004972708000373
DO - 10.1017/S0004972708000373
M3 - Article
AN - SCOPUS:44949154379
SN - 0004-9727
VL - 77
SP - 325
EP - 329
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
IS - 2
ER -