From the 1 of 4 linked papers with an AI index.
4 papers
Large subsets of the first squares
F. Bosio, R. Riblet, J. Tarr
The paper establishes a lower bound on the size of B₂[g] subsets of the first n squares, showing they contain at least a constant times n^{2g/(2g+1)} (log n)^{(2-2^g)/(2g+1)} eleme…
Large subsets avoiding algebraic patterns
Alexandre Bailleul, Robin Riblet
We prove the existence of a subset of the torus with large sumsets and avoiding all linear patterns. This extends a result of Körner, who had shown that for any integer …
On the largest Sidon subset in a finite subset of
Alexandre Bailleul, Robin Riblet
We obtain a new lower bound on the largest Sidon subset of an arbitrary finite set of integers. If denotes the minimum, over all -element subsets of , of the l…
Existence of a Sidon set for the distinct distance constant
Robin Riblet, Titien Schehr
We highlight a certain compactness of Sidon sets and -sets and provide several applications. Notably, we prove the existence of such sets that maximize certain functions. I…