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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 E-mail: Submission date: 10 August 2015. Abstract: 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: |
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