Representing integers as linear combinations of powers
Number Theory
2011-08-19 v1
Abstract
At a conference in Debrecen in October 2010 Nathanson announced some results concerning the arithmetic diameters of certain sets. He proposed some related results on the representation of integers by sums or differences of powers of 2 and 3. In this note we prove some results on this problem and the more general problem about the representation by linear combinations of powers of some fixed integers.
Cite
@article{arxiv.1108.3737,
title = {Representing integers as linear combinations of powers},
author = {Lajos Hajdu and Rob Tijdeman},
journal= {arXiv preprint arXiv:1108.3737},
year = {2011}
}
Comments
8 pages, paper will appear in Publ. Math. Debrecen