%0 Journal Article
%T Additive bases of positive integers and related problems
%A Art¨¹ras Dubickas
%J Uniform Distribution Theory
%D 2008
%I Mathematical Institute of the Slovak Academy of Sciences
%X Let $A$ be an infinite set of nonnegative integers and let $k \geq 2$ be an integer. We investigate the relation between the number of representations of an integer $n$ by sums of the form $a_1+ \dots+a_k$, where $a_1, \dots, a_k \in A$,and the size of $A$. Some related problems are also considered.
%K Additive basis
%K sumset
%K square of a polynomial.
%U http://www.boku.ac.at/MATH/udt/vol03/no2/Dub08-2.pdf