Rough values of Piatetski-Shapiro sequences

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Akbal Y.

Monatshefte fur Mathematik, cilt.185, sa.1, ss.1-15, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 185 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s00605-016-0993-y
  • Dergi Adı: Monatshefte fur Mathematik
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-15
  • Anahtar Kelimeler: Exponential sums, Piatetski-Shapiro sequences, Rough numbers
  • TED Üniversitesi Adresli: Hayır

Özet

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.