J. Cilleruelo

activity

20062021

most citedCongruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications

30 citations · 73 across the 25 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.NT2010★ 2 cited

Concentration points on two and three dimensional modular hyperbolas and applications

J. Cilleruelo, M. Z. Garaev

Let $p$ be a large prime number, $K, L, M, λ$ be integers with $1 \leq M \leq p$ and $g c d (λ, p) = 1.$ The aim of our paper is to obtain sharp upper bound estimates for the numb…

math.NT2010★ 2 cited

Combinatorial problems in finite fields and Sidon sets

Javier Cilleruelo

We use Sidon sets to present an elementary method to study some combinatorial problems in finite fields, such as sum product estimates, solubility of some equations and distributio…

math.NT2010★ 12 cited

The least common multiple of a quadratic sequence

Javier Cilleruelo

For any irreducible quadratic polynomial f(x) in Z[x] we obtain the estimate log l.c.m.(f(1),...,f(n))= n log n + Bn + o(n) where B is a constant depending on f.