An overlapping theorem with applications

Javier Cilleruelo (1) , Gérald Tenenbaum (2)

1 Departamento de Matemáticas [Madrid]
2 IECN - Institut Élie Cartan de Nancy

Let $\mu$ be a positive measure on a set $\Omega$, $\{ E_j\}_{j=1}^k$ a family of measurable subsets, and set $$\tau_m:=\sum_{1\le j_1< \cdots

Mots clés: Probabilty of intersection; sieve; extremal graph theory; coding theory; distribution of divisors; lattice points on circles; divors of polynomials

Domaines: Théorie des nombres [math.NT]

Javier Cilleruelo, Gérald Tenenbaum. An overlapping theorem with applications. 2006. ⟨hal-00091304v1⟩