30 citations · 73 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
On the congruence
Javier Cilleruelo, Moubariz Z. Garaev
In the present paper we obtain several new results related to the problem of upper bound estimates for the number of solutions of the congruence $$ x^{x}\equiv λ\pmod p;\quad x\in…