30 citations · 73 across the 25 of their papers we have counts for
31 papers
Ratio sets of random sets
Javier Cilleruelo, Jorge Guijarro-Ordonez
We study the typical behavior of the size of the ratio set for a random subset . For example, we prove that $|A/A|\sim \frac{2\text{Li}_2(3/4)}{π^2}…
Sidon set systems
Javier Cilleruelo, Oriol Serra, Maximilian Wötzel
A family of -subsets of is a Sidon system if the sumsets , are pairwise distinct. We show that the largest cardinalit…
Every positive integer is a sum of three palindromes
Javier Cilleruelo, Florian Luca, Lewis Baxter
For integer , we prove that any positive integer can be written as a sum of three palindromes in base .
Visible lattice points in random walks
Javier Cilleruelo, José L. Fernández, Pablo Fernández
We consider the possible visits to visible points of a random walker moving up and right in the integer lattice (with probability and , respectively) and starting from the…
Visible lattice points and the chromatic zeta function of a graph
Javier Cilleruelo
We study the probability that a cycle of length k in the lattice [1, n]^s does not contain more lattice points than the k vertices of the cycle. Then we generalize this problem to…
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…