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12 p, 149.4 KB An overlapping theorem with applications / Cilleruelo, Javier (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Tenenbaum, Gérald (Université Henri Poincaré. Institut Élie Cartan)
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.
2007 - 10.5565/PUBLMAT_PJTN05_04
Publicacions matemàtiques, Vol. Extra (2007) , p. 107-118  
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