A note on values of beatty sequences that are free of large prime factors

Akbal Y.

Colloquium Mathematicum, cilt.160, sa.1, ss.53-63, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 160 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4064/cm7715-2-2019
  • Dergi Adı: Colloquium Mathematicum
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.53-63
  • Anahtar Kelimeler: Beatty sequences, Exponential sums, Friable numbers
  • TED Üniversitesi Adresli: Hayır

Özet

Let α and β be fixed real numbers and suppose that α > 1 is irrational and of finite type. We study values of the non-homogeneous Beatty sequence (Formula Presented) that are free of large prime factors, where (Formula Presented) is the largest integer not exceeding x.