Primes in the form $[αp+β]$

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Let βbe a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure) \limsup_{x\to\infty}π_{α,β}^*(x)(\log x)^2/x>=1, where π_{α,β}^*(x)={p<=x: both p and [αp+β] are primes}.

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Number Theory, 11N05 (Primary); 11N36, 11P32 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/158058

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.1740
 http://arxiv.org/abs/0803.1740

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arXiv