1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2009
On a question of Sárközy on gaps of product sequences
Javier Cilleruelo, Thai Hoang Le
Motivated by a question of Sárközy, we study the gaps in the product sequence $\B=\A ... \A=\{b_n=a_ia_j, a_i,a_j\in \A\}$ when $\A$ has upper Banach density . We prove that t…
math.NT2009★ 1 cited
Generalized Sidon sets
Javier Cilleruelo, Imre Z. Ruzsa, Carlos Vinuesa
We give asymptotic sharp estimates for the cardinality of a set of residue classes with the property that the representation function is bounded by a prescribed number. We then use…
math.NT2006
Lattice points on circles, squares in arithmetic progressions and sumsets of squares
Javier Cilleruelo, Andrew Granville
Rudin conjectured that there are never more than c N^(1/2) squares in an arithmetic progression of length N. Motivated by this surprisingly difficult problem we formulate more than…