R. Riblet

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20222026

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5 papers · 1 filter

math.CO2026

Large $B_{2} [g]$ subsets of the first squares

F. Bosio, R. Riblet, J. Tarr

We prove that, for every fixed integer $g \geq 1$ , the largest cardinality of a $B_{2} [g]$ subset of the first $n$ squares is at least a positive constant, depending only on $g$ , time…

math.CO2026

On the largest Sidon subset in a finite subset of $R^{N}$

Alexandre Bailleul, Robin Riblet

We obtain a new lower bound on the largest Sidon subset of an arbitrary finite set of integers. If $H (n)$ denotes the minimum, over all $n$ -element subsets of $Z$ , of the l…

math.CO2025

Existence of a Sidon set for the distinct distance constant

Robin Riblet, Titien Schehr

We highlight a certain compactness of Sidon sets and $B_{2} [g]$ -sets and provide several applications. Notably, we prove the existence of such sets that maximize certain functions. I…

math.CO2025

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 $q \geq 1$ ,…

math.CO2022

Sidon sets in a union of intervals

Robin Riblet

We study the maximum size of Sidon sets in unions of integers intervals. If $A \subseteq N$ is the union of two intervals and if $∣ A ∣ = n$ (where $\left| A \right…

Large B2​[g] subsets of the first squares

On the largest Sidon subset in a finite subset of RN

Existence of a Sidon set for the distinct distance constant

Large subsets avoiding algebraic patterns

Sidon sets in a union of intervals

Large $B_{2} [g]$ subsets of the first squares

On the largest Sidon subset in a finite subset of $R^{N}$