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An overlapping theorem with applications

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2007 Spain English Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume EXTRA, pages 107-118 (issn: 0214-1493, Copyright policy )
Authors: Cilleruelo, J.; Tenenbaum, G.;

doi: 10.5565/publmat_pjtn05_04

handle: 10261/31107

An overlapping theorem with applications

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.

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Spain
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Keywords

Graph theory, Divisors, Lattice points, Divisors of polynomials, Coding theory, Probability of intersections, Sidon sets

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
OpenAIRE UsageCountsViews provided by UsageCounts
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103
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