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math.NT2009
Additive bases arising from functions in a Hardy field
Tsz Ho Chan, Angel Kumchev, Mate Wierdl
A classical additive basis question is Waring's problem. It has been extended to integer polynomial and non-integer power sequences. In this paper, we will consider a wider class o…
math.NT2005
Approximating reals by sums of rationals
Tsz Ho Chan, Angel V. Kumchev
We study how well a real number can be approximated by sums of two or more rational numbers with denominators up to a certain size.