More precise pair correlation of zeros and primes in short intervals

Details More precise pair correlation of zeros and primes in short intervals More precise pair correlation of zeros and primes in short intervals

2002-06-27

arxiv.org/abs/math/0206292v1

Mathematics

Number Theory

Scientific paper

Goldston and Montgomery [3] proved that the Strong Pair Correlation
Conjecture and two second moments of primes in short intervals are equivalent
to each other under Riemann Hypothesis. In this paper, we get the second main
terms for each of the above and show that they are almost equivalent to each
other.

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