Carmichael numbers in arithmetic progressions

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dc.contributor.authorMatomaki K
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id1346248
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/1346248
dc.date.accessioned2022-10-27T11:55:46Z
dc.date.available2022-10-27T11:55:46Z
dc.description.abstractWe prove that when (a, m) = 1 and a is a quadratic residue mod m, there are infinitely many Carmichael numbers in the arithmetic progression a mod m. Indeed the number of them up to x is at least x^(1/5) when x is large enough (depending on m).
dc.format.pagerange268
dc.format.pagerange275
dc.identifier.jour-issn1446-7887
dc.identifier.olddbid172873
dc.identifier.oldhandle10024/155967
dc.identifier.urihttps://www.utupub.fi/handle/11111/30741
dc.identifier.urnURN:NBN:fi-fe2021042714077
dc.language.isoen
dc.okm.affiliatedauthorMatomäki, Kaisa
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherCAMBRIDGE UNIV PRESS
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.doi10.1017/S1446788712000547
dc.relation.ispartofjournalJournal of the Australian Mathematical Society
dc.relation.issue2
dc.relation.volume94
dc.source.identifierhttps://www.utupub.fi/handle/10024/155967
dc.titleCarmichael numbers in arithmetic progressions
dc.year.issued2013

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