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  • On the number of divisors of the terms of a geometric progression
    Filipovski, Slobodan
    Let ▫$\{a_{n}\}_{n=1}^{\infty}$▫ be a geometric progression of natural numbers whose quotient has exactly ▫$k$▫ distinct prime divisors. In this note we show that the ▫$(k-1)$▫-th differences of the ... sequence ▫$\{\tau(a_{n})\}_{n=1}^{\infty}$▫ constitute an arithmetic progression. Moreover, we show that there exists a polynomial ▫$p$▫ of degree ▫$k$▫ such that ▫$\tau(a_{n})=p(n)$▫ for each ▫$n\geq 1.$▫
    Vir: Far East Journal of Mathematical Education. - ISSN 0973-5631 (Vol. 26, iss. 1, 2024, str. 29-33)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2024
    Jezik - angleški
    COBISS.SI-ID - 189608451

    Povezava(-e):

    https://pphmjopenaccess.com/index.php/fejme/article/view/1495
    https://doi.org/10.17654/0973563124004
    DOI

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