Difference sets and Polynomials of prime variables

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dc.creatorLi, Hongze
dc.creatorPan, Hao
dc.date2007-09-12
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:13Z
dc.date.available2026-07-07T08:41:13Z
dc.descriptionLet ψ(x) be a polynomial with rational coefficients. Suppose that ψhas the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positive upper density. Then there exist x,y\in A and a prime p such that x-y=ψ(p-1). Furthermore, if P be a set of primes with the positive relative upper density, then there exist x,y\in P and a prime p such that x-y=ψ(p-1).
dc.identifierhttps://arxiv.org/abs/0709.1758
dc.identifierhttp://arxiv.org/abs/0709.1758
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141613
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11P32;05D99;11P55
dc.titleDifference sets and Polynomials of prime variables
dc.typetext

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