# An overlapping theorem with applications.

Javier Cilleruelo; Gérald Tenenbaum

Publicacions Matemàtiques (2007)

- Volume: 51, Issue: Extra, page 107-118
- ISSN: 0214-1493

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topCilleruelo, 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 -

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