Word equations with kth powers of variables

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dc.contributor.authorSaarela Aleksi
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id39497480
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/39497480
dc.date.accessioned2022-10-28T12:46:09Z
dc.date.available2022-10-28T12:46:09Z
dc.description.abstract<p>We prove that if the equality of words holds for three positive values of k, then it holds for all values of k. As a consequence, if holds for three positive values of k, then the words are powers of a common word. The most important method in our proofs is to assign numerical values to the letters, and then study the sums of the letters of words and their prefixes.<br /></p>
dc.format.pagerange15
dc.format.pagerange31
dc.identifier.jour-issn0097-3165
dc.identifier.olddbid178826
dc.identifier.oldhandle10024/161920
dc.identifier.urihttps://www.utupub.fi/handle/11111/36389
dc.identifier.urnURN:NBN:fi-fe2021042825936
dc.language.isoen
dc.okm.affiliatedauthorSaarela, Aleksi
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.publisherAcademic Press Inc.
dc.publisher.countryUnited Statesen_GB
dc.publisher.countryYhdysvallat (USA)fi_FI
dc.publisher.country-codeUS
dc.relation.doi10.1016/j.jcta.2019.01.004
dc.relation.ispartofjournalJournal of Combinatorial Theory, Series A
dc.relation.volume165
dc.source.identifierhttps://www.utupub.fi/handle/10024/161920
dc.titleWord equations with kth powers of variables
dc.year.issued2019

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