Department of Mathematics

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Browsing Department of Mathematics by Author "Akbal, Y."

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    Piatetski-Shapiro meets Chebotarev
    (Instytut Matematyczny, 2015) Akbal, Y.; Güloğlu, A. M.
    [No abstract available]
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    Rough values of Piatetski-Shapiro sequences
    (Springer-Verlag Wien, 2018) Akbal, Y.
    An integer is called y-rough if it is composed solely of primes CloseSPigtSPi y. Let ⌊. ⌋ be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n⩽ x such that ⌊ nc⌋ is y-rough uniformly for a range of y that depends on 1 OpenSPiltSPi cOpenSPiltSPi 2229 / 1949.
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    Waring's problem with Piatetski-Shapiro numbers
    (London Mathematical Society, 2016) Akbal, Y.; Güloğlu, A. M.
    In this paper, we investigate in various ways the representation of a large natural number as a sum of a fixed power of Piatetski-Shapiro numbers, thereby establishing a variant of the Hilbert-Waring problem with numbers from a sparse sequence. Copyright © University College London 2016.
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    Waring-Goldbach problem with Piatetski-Shapiro primes
    (Institut de Mathematique de Bordeaux, 2018) Akbal, Y.; Güloğlu, A. M.
    In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with primes from a sparse sequence.