Mathematics – Number Theory
Scientific paper
2012-04-03
Mathematics
Number Theory
Scientific paper
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.
Keating Jon P.
Rudnick Zeev
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