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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.NT2004
On the irreducibility of a truncated binomial expansion
Michael Filaseta, Angel Kumchev, Dmitrii V. Pasechnik
Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it.…