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MORE PRECISE PAIR CORRELATION OF ZEROS AND PRIMES IN SHORT INTERVALS

Published online by Cambridge University Press:  17 November 2003

TSZ HO CHAN
TSZ HO CHAN
Affiliation:
Mathematics Department, Case Western Reserve University, Yost Hall 220, 10900 Euclid Avenue, Cleveland, OH 44106-7058, [email protected]
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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.

Keywords

11M2611N05
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 579 - 598
Copyright
The London Mathematical Society 2003

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