Shared more. Cited more. Safe forever.
    • advanced search
    • submit works
    • about
    • help
    • contact us
    • login
    View Item 
    •   MOspace Home
    • University of Missouri-Columbia
    • College of Arts and Sciences (MU)
    • Department of Mathematics (MU)
    • Mathematics publications (MU)
    • View Item
    •   MOspace Home
    • University of Missouri-Columbia
    • College of Arts and Sciences (MU)
    • Department of Mathematics (MU)
    • Mathematics publications (MU)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    advanced searchsubmit worksabouthelpcontact us

    Browse

    All of MOspaceCommunities & CollectionsDate IssuedAuthorAuthor/ContributorTitleSubjectIdentifierThesis DepartmentThesis AdvisorThesis SemesterThis CollectionDate IssuedAuthorAuthor/ContributorTitleSubjectIdentifierThesis DepartmentThesis AdvisorThesis Semester

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular AuthorsStatistics by Referrer

    Distributional Properties of the Largest Prime Factor

    Banks, William David, 1964-
    Harman, G. (Glyn), 1956-
    Shparlinski, Igor E.
    View/Open
    [PDF] Article (172.8Kb)
    Date
    2005
    Format
    Article
    Metadata
    [+] Show full item record
    Abstract
    Let P(n) denote the largest prime factor of an integer n ≥ 2, and put P(1) = 1. In this paper, we study the distribution of the sequence {P(n) : n ≥ 1} over the set of congruence classes modulo an integer q ≥ 2, and we study the same question for the sequence {P(p − 1) : p is prime}. We also give bounds for rational exponential sums involving P(n). Finally, for an irrational number _, we show that the sequence {_P(n) : n ≥ 1} is uniformly distributed modulo 1.
    URI
    http://hdl.handle.net/10355/10840
    Part of
    Mathematics publications (MU)
    Citation
    Michigan Math. J. 53 (2005), 665-681.
    Collections
    • Mathematics publications (MU)

    Send Feedback
    hosted by University of Missouri Library Systems
     

     


    Send Feedback
    hosted by University of Missouri Library Systems