A note on Primes in Short Intervals
classification
🧮 math.NT
keywords
formassumeaverageconjecturedistributionhardy-littlewoodinsteadintervals
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Instead of a strong quantitative form of the Hardy-Littlewood prime $k$-tuple conjecture, one can assume an average form of it and still obtains the same distribution result on $\psi(x+h) - \psi(x)$ by Montgomery and Soundararajan [1].
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