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arXiv:1204.0708 [math.NT]AbstractReferencesReviewsResources

The variance of the number of prime polynomials in short intervals and in residue classes

J. P. Keating, Z. Rudnick

Published 2012-04-03, updated 2012-07-17Version 3

We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial ingredient in our work are recent equidistribution results of N. Katz.

Comments: Revised according to referees' comments
Categories: math.NT
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