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arXiv · 1103.5030

Polynomial Differences in the Primes

Neil Lyall·Alex Rice
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Abstract

We establish, utilizing the Hardy-Littlewood Circle Method, an asymptotic formula for the number of pairs of primes whose differences lie in the image of a fixed polynomial. We also include a generalization of this result where differences are replaced with any integer linear combination of two primes.

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Neil Lyall, Alex Rice. 2011-07-28. Polynomial Differences in the Primes. https://arxiv.org/abs/1103.5030

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