@article{7b6bde7fd2c046de8055c0dd60873bc5,
title = "The variance of the number of prime polynomials in short intervals and in residue classes",
abstract = "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 is the recent equidistribution results of N. Katz.",
author = "Keating, {Jonathan P.} and Ze{\'e}v Rudnick",
note = "Funding Information: J.P.K was supported by a grant from the Leverhulme Trust and by the Air Force Office of Scientific Research, Air Force Material Command, USAF, under grant number FA8655-10-1-3088. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purpose notwithstanding any copyright notation thereon. Z.R. was supported by the Israel Science Foundation (grant No. 1083/10).",
year = "2014",
month = jan,
day = "1",
doi = "10.1093/imrn/rns220",
language = "אנגלית",
volume = "2014",
pages = "259--288",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "1",
}