An overlapping theorem with applications
Cilleruelo, Javier (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Tenenbaum, Gérald (Université Henri Poincaré. Institut Élie Cartan)

Date:	2007
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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Probability of intersections ; Divisors ; Lattice points ; Sidon sets ; Graph theory ; Divisors of polynomials ; Coding theory
Published in:	Publicacions matemàtiques, Vol. Extra (2007) , p. 107-118, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/69983
DOI: 10.5565/PUBLMAT_PJTN05_04

12 p, 149.4 KB

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