Polynomial Differences in the Primes

Details Polynomial Differences in the Primes Polynomial Differences in the Primes

2011-03-25

arxiv.org/abs/1103.5030v2

Mathematics

Number Theory

References added, some typos corrected

Scientific paper

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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