Squarefree integers in non-linear sequences

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Abstract

The number of squarefree integers in sequences [f(n + x)], n = 1,2,3, …, N is (6/π2 + o(1))N for almost all x ≥ 0, when f is a polynomial function of degree k ≥ 2 or an exponential function.

Original languageEnglish
Pages (from-to)223-225
Number of pages3
JournalPacific Journal of Mathematics
Volume123
Issue number1
DOIs
StatePublished - May 1986

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