Squarefree integers in non-linear sequences

Friedrich Roesler

doi:10.2140/pjm.1986.123.223

Squarefree integers in non-linear sequences

Friedrich Roesler

Chair of Mathematical physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Pages (from-to)	223-225
Number of pages	3
Journal	Pacific Journal of Mathematics
Volume	123
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1986.123.223
State	Published - May 1986

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10.2140/pjm.1986.123.223

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Squarefree integers in non-linear sequences

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