38 citations · 125 across the 18 of their papers we have counts for
4 papers · 1 filter
Approximate polynomial structure in additively large sets
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
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 boun…
High density piecewise syndeticity of product sets in amenable groups
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
M. Beiglböck, V. Bergelson, and A. Fish proved that if is a countable amenable group and and are subsets of with positive Banach density, then the product set …
A monad measure space for logarithmic density
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
We provide a framework for proofs of structural theorems about sets with positive Banach logarithmic density. For example, we prove that if has positive Ban…
Distinct parts partitions without sequences
Kathrin Bringmann, Karl Mahlburg, Karthik Nataraj
Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others. Their result…