B-free numbers in short arithmetic progressions

Research output: Contribution to journalArticle


Given a sequence B of relatively prime positive integers with the sum of inverses finite, we investigate the problem of finding B-free numbers in short arithmetic progressions.

Original languageEnglish (US)
Pages (from-to)226-243
Number of pages18
JournalJournal of Number Theory
Issue number2
StatePublished - Aug 1 2005


  • Arithmetic progressions
  • B-free numbers
  • Exponential sums

ASJC Scopus subject areas

  • Algebra and Number Theory

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