Polynomial Differences in the Primes
classification
🧮 math.NT
keywords
differencesprimespolynomialasymptoticcirclecombinationestablishfixed
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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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