Prime numbers as values of nested Beatty sequences

Akbal Y.

Ramanujan Journal, vol.64, no.4, pp.1303-1322, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.1007/s11139-024-00870-1
  • Journal Name: Ramanujan Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1303-1322
  • Keywords: 11N05, 11N32, Beatty sequences, Exponential sums, Prime numbers
  • TED University Affiliated: Yes

Abstract

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