Prime numbers as values of nested Beatty sequences

Akbal Y.

Ramanujan Journal, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s11139-024-00870-1
  • Dergi Adı: Ramanujan Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: 11N05, 11N32, Beatty sequences, Exponential sums, Prime numbers
  • TED Üniversitesi Adresli: Evet

Özet

We show that under certain conditions, nested Beatty sequences assume infinitely many prime values.