A1 Refereed original research article in a scientific journal

WHEN THE SIEVE WORKS



Authors: Granville A, Koukoulopoulos D, Matomaki K

Publisher: DUKE UNIV PRESS

Publication year: 2015

Journal: Duke Mathematical Journal

Journal name in source: DUKE MATHEMATICAL JOURNAL

Journal acronym: DUKE MATH J

Volume: 164

Issue: 10

First page : 1935

Last page: 1969

Number of pages: 35

ISSN: 0012-7094

DOI: https://doi.org/10.1215/00127094-3120891


Abstract

We are interested in classifying those sets of primes P such that when we sieve out the integers up to x by the primes in P-c we are left with roughly the expected number of unsieved integers. In particular, we obtain the first general results for sieving an interval of length x with primes including some in (root x, x], using methods motivated by additive combinatorics.


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Last updated on 2024-26-11 at 21:28