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

Jon P Keating, Z Rudnick

Research output: Contribution to journalArticle (Academic Journal)peer-review

32 Citations (Scopus)

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. 
Original languageEnglish
Article numberrns220
Number of pages30
JournalInternational Mathematics Research Notices
VolumeOctober 16, 2012
DOIs
Publication statusPublished - 16 Oct 2012

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