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dc.contributor.authorBhargava, Manjul
dc.contributor.authorCremona, John
dc.contributor.authorFisher, Thomas
dc.contributor.authorGajovic, Stevan
dc.date.accessioned2021-12-15T00:31:40Z
dc.date.available2021-12-15T00:31:40Z
dc.identifier.issn0024-6115
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/331408
dc.description.abstractWe determine the probability that a random polynomial of degree n over Zp has exactly r roots in Qp, and show that it is given by a rational function of p that is invariant under replacing p by 1/p.
dc.description.sponsorshipI did not receive any funding for this paper. See the acknowledgements section of the paper for funding received by my coauthors (none from the sources mentioned above).
dc.publisherLondon Mathematical Society
dc.rightsAll Rights Reserved
dc.rights.urihttp://www.rioxx.net/licenses/all-rights-reserved
dc.titleThe density of polynomials of degree n over Zp having exactly r roots in Qp
dc.typeArticle
dc.publisher.departmentDepartment of Pure Mathematics And Mathematical Statistics
dc.date.updated2021-12-13T23:06:14Z
prism.publicationNameProceedings of the London Mathematical Society
dc.identifier.doi10.17863/CAM.78861
dcterms.dateAccepted2021-12-09
rioxxterms.versionAM
rioxxterms.typeJournal Article/Review
cam.orpheus.counter32*
cam.depositDate2021-12-13
pubs.licence-identifierapollo-deposit-licence-2-1
pubs.licence-display-nameApollo Repository Deposit Licence Agreement
rioxxterms.freetoread.startdate2024-12-14


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