An overlapping theorem with applications.

Cilleruelo, Javier, and Tenenbaum, Gérald. "An overlapping theorem with applications.." Publicacions Matemàtiques 51.Extra (2007): 107-118. <http://eudml.org/doc/41916>.

@article{Cilleruelo2007,
abstract = {We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].},
author = {Cilleruelo, Javier, Tenenbaum, Gérald},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de números; Problemas combinatorios; Probabilidad; probability of intersections; divisors; lattice points; sidon sets; graph theory; divisors of polynomials; coding theory},
language = {eng},
number = {Extra},
pages = {107-118},
title = {An overlapping theorem with applications.},
url = {http://eudml.org/doc/41916},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Cilleruelo, Javier
AU - Tenenbaum, Gérald
TI - An overlapping theorem with applications.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - Extra
SP - 107
EP - 118
AB - We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
LA - eng
KW - Teoría de números; Problemas combinatorios; Probabilidad; probability of intersections; divisors; lattice points; sidon sets; graph theory; divisors of polynomials; coding theory
UR - http://eudml.org/doc/41916
ER -