Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 3, Issue 2


Published
on

February 7, 2009


Pages

81-90


DOI

Article

Additive Bases of Positive Integers and Related Problems


Authors

Arturas Dubickas Affiliation:
Department of Mathematics and Informatics Vilnius University, Naugarduko 24 Vilnius LT-03225 LITHUANIA


Abstract

Let A be an infinite set of nonnegative integers and let k2 be an integer. We investigate the relation between the number of representations of an integer n by sums of the form a1 + · · · + ak, where a1, . . . , ak ∈ A, and the size of A. Some related problems are also considered.


Keywords

Additive basis, sumset, square of a polynomial.


Citation

Dubickas, A. (2008). Additive bases of positive integers and related problems. Uniform Distribution Theory, 3(2), 81–90.

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