Rafael Tesoro

activity

20122015

collaborators

4 papers

math.NT2015

On sets free of sumsets with summands of prescribed size

Javier Cilleruelo, Rafael Tesoro

We study extremal problems about sets of integers that do not contain sumsets with summands of prescribed size. We analyse both finite sets and infinite sequences. We also study th…

math.CO2013

Bounds for generalized Sidon sets

Xing Peng, Rafael Tesoro, Craig Timmons

Let $Γ$ be an abelian group and $g \geq h \geq 2$ be integers. A set $A \subset Γ$ is a $C_{h} [g]$ -set if given any set $X \subset Γ$ with $∣ X ∣ = k$ , and any set $\{ k_1 , \dots , k_…

math.NT2013

Sets of integers avoiding congruent subsets

Rafael Tesoro

Consider the sets of integers $A$ that avoid any arrangement of $g$ congruent $h$ -subsets. Our findings refine and improve upon some results by Erdős and Harzheim about these sets.

math.NT2012

Dense infinite $B_{h}$ sequences