Browsing by Subject "Circle method"

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    ItemOpen Access
    On Waring-Goldbach problem with Piatetski-Shapiro primes
    (Academic Press, 2018) Akbal, Yıldırım; Güloğlu, Ahmet M.
    In this paper, we show that all sufficiently large natural numbers satisfying certain local conditions can be written as the sum of kth powers of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with primes from a sparse sequence.
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    ItemOpen Access
    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.