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Title: Approximation by several rationals
Related: Bulletin of the Australian Mathematical Society, Vol. 77, Issue 2, p.325-329
DOI: 10.1017/S0004972708000373
Publisher: Cambridge University Press
Date: 2008
FoR/RFCD Code(s): 010101 Algebra and Number Theory 080201 Analysis of Algorithms and Complexity 080402 Data Encryption
Author/Creator: Shparlinski, Igor E
Description: 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 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.
Description: 5 page(s)
Subject Keyword: 010101 Algebra and Number Theory
Subject Keyword: 080201 Analysis of Algorithms and Complexity
Subject Keyword: 080402 Data Encryption
Subject Keyword: rational approximations
Subject Keyword: multivariate congruences
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Identifier: http://hdl.handle.net/1959.14/44732
Identifier: ISSN:1755-1633
Identifier: mq-rm-2008000875
Language: eng
Rights: 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
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