Now showing items 1-3 of 3

    • On Waring-Goldbach problem with Piatetski-Shapiro primes 

      Akbal, Y.; Güloğlu, A. M. (Academic Press, 2018)
      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 ...
    • Rough values of Piatetski-Shapiro sequences 

      Akbal, Y. (Springer-Verlag Wien, 2018)
      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⌋ ...
    • Waring-Goldbach problem with Piatetski-Shapiro primes 

      Akbal, Y.; Güloğlu, A. M. (Institut de Mathematique de Bordeaux, 2018)
      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 ...