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MORE PRECISE PAIR CORRELATION OF ZEROS AND PRIMES IN SHORT INTERVALS
Published online by Cambridge University Press: 17 November 2003
Abstract
Goldston and Montgomery proved that the strong pair correlation conjecture and two second moments of primes in short intervals are equivalent to each other under the Riemann hypothesis. The paper obtains the second main terms for each of the above, and it is shown that they are almost equivalent to each other.
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- The London Mathematical Society 2003
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