Publications > Preprint server > Preprint Number 902
Preprint Number 902
902. Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg
Approximate polynomial structure in additively large sets
Submission date: 10 August 2015.
We show that any subset of the natural numbers with positive logarithmic Banach density contains a set that is within a factor of two of a geometric progression, improving the bound on a previous result of the authors. Density conditions on subsets of the natural numbers that imply the existence of approximate powers of arithmetic progressions are developed and explored.
Mathematics Subject Classification:
Keywords and phrases:
|Last updated: August 29 2015 11:10||Please send your corrections to:|