WHEN THE SIEVE WORKS

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dc.contributor.authorGranville A
dc.contributor.authorKoukoulopoulos D
dc.contributor.authorMatomaki K
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id2160570
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/2160570
dc.date.accessioned2025-08-28T03:26:49Z
dc.date.available2025-08-28T03:26:49Z
dc.description.abstract<p> 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.</p>
dc.format.pagerange1935
dc.format.pagerange1969
dc.identifier.jour-issn0012-7094
dc.identifier.olddbid210676
dc.identifier.oldhandle10024/193703
dc.identifier.urihttps://www.utupub.fi/handle/11111/54912
dc.identifier.urnURN:NBN:fi-fe2021042714494
dc.language.isoen
dc.okm.affiliatedauthorMatomäki, Kaisa
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherDUKE UNIV PRESS
dc.publisher.countryUnited Statesen_GB
dc.publisher.countryYhdysvallat (USA)fi_FI
dc.publisher.country-codeUS
dc.relation.doi10.1215/00127094-3120891
dc.relation.ispartofjournalDuke Mathematical Journal
dc.relation.issue10
dc.relation.volume164
dc.source.identifierhttps://www.utupub.fi/handle/10024/193703
dc.titleWHEN THE SIEVE WORKS
dc.year.issued2015

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