Solvability of a System of Polynomial Equations Modulo Primes

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dc.contributor.authorJärviniemi Olli
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code2606101
dc.converis.publication-id174952246
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/174952246
dc.date.accessioned2025-08-28T00:27:27Z
dc.date.available2025-08-28T00:27:27Z
dc.description.abstractLet F be a system of polynomial equations in one or more variables with integer coefficients. We show that there exists a univariate polynomial D is an element of Z[x] such that F is solvable modulo p if and only if the equation D(x) 0 (mod p) has a solution.
dc.format.pagerange404
dc.format.pagerange407
dc.identifier.eissn1755-1633
dc.identifier.jour-issn0004-9727
dc.identifier.olddbid205745
dc.identifier.oldhandle10024/188772
dc.identifier.urihttps://www.utupub.fi/handle/11111/29086
dc.identifier.urnURN:NBN:fi-fe2023040134456
dc.language.isoen
dc.okm.affiliatedauthorJärviniemi, Olli
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/S0004972722000260
dc.relation.ispartofjournalBulletin of the Australian Mathematical Society
dc.relation.issue3
dc.relation.volume106
dc.source.identifierhttps://www.utupub.fi/handle/10024/188772
dc.titleSolvability of a System of Polynomial Equations Modulo Primes
dc.year.issued2022

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