Mathematics – Number Theory
Scientific paper
2005-03-21
Mathematics
Number Theory
6 pages, report number added
Scientific paper
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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