• Corpus ID: 52210230

Approximate Polynomial Structure in Additively Large Sets

@article{Nasso2016ApproximatePS,
  title={Approximate Polynomial Structure in Additively Large Sets},
  author={Mauro Di Nasso and Isaac Goldbring and Renling Jin and Steven C. Leth and Martino Lupini and Karl Mahlburg},
  journal={Integers},
  year={2016},
  volume={16},
  pages={A49}
}
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. 
2 Citations
Nonstandard methods in combinatorial number theory
The purpose of this workshop was to continue the use of nonstandard methods in combinatorial number theory and Ramsey theory. The organizers invited experts in nonstandard analysis, additive

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