Mobius function in short intervals for function fields

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dc.contributor.authorBae, Sung-Hanko
dc.contributor.authorCha, Byungchulko
dc.contributor.authorJung, Hwanyupko
dc.date.accessioned2015-05-22T02:15:42Z-
dc.date.available2015-05-22T02:15:42Z-
dc.date.created2015-05-20-
dc.date.created2015-05-20-
dc.date.issued2015-07-
dc.identifier.citationFINITE FIELDS AND THEIR APPLICATIONS, v.34, pp.235 - 249-
dc.identifier.issn1071-5797-
dc.identifier.urihttp://hdl.handle.net/10203/198538-
dc.description.abstractLet mu(A) be the Mobius function defined in a polynomial ring F-q[T] with coefficients in the finite field F-q of q elements (q is odd). In this paper, we present a function field version of partial progress toward a conjecture of Good and Churchhouse. We calculate the mean and the large q limit of the variance of partial sums of the Mobius function on short intervals. Our calculation closely follows the framework of a recent work of Keating and Rudnick, where they consider the distribution of the von Mangoldt function in function fields.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleMobius function in short intervals for function fields-
dc.typeArticle-
dc.identifier.wosid000353250100015-
dc.identifier.scopusid2-s2.0-84923876826-
dc.type.rimsART-
dc.citation.volume34-
dc.citation.beginningpage235-
dc.citation.endingpage249-
dc.citation.publicationnameFINITE FIELDS AND THEIR APPLICATIONS-
dc.identifier.doi10.1016/j.ffa.2015.02.002-
dc.contributor.localauthorBae, Sung-Han-
dc.contributor.nonIdAuthorCha, Byungchul-
dc.contributor.nonIdAuthorJung, Hwanyup-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorPolynomial ring-
dc.subject.keywordAuthorMobius function-
dc.subject.keywordAuthorConjecture of Good and Churchhouse-
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