Representing integers as linear combinations of powers

Details Representing integers as linear combinations of powers Representing integers as linear combinations of powers

2011-08-18

arxiv.org/abs/1108.3737v1

Mathematics

Number Theory

8 pages, paper will appear in Publ. Math. Debrecen

Scientific paper

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.

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