### Abstract

Let k ε N and let f_{1},...,f_{k} belong to a Hardy field. We prove that under some natural conditions on the k-tuple (f_{1},...,f_{k}) the density of the set exists and equals where Z is the Riemann zeta function.

Original language | English (US) |
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Title of host publication | Number Theory - Diophantine Problems, Uniform Distribution and Applications |

Subtitle of host publication | Festschrift in Honour of Robert F. Tichy's 60th Birthday |

Publisher | Springer International Publishing |

Pages | 109-135 |

Number of pages | 27 |

ISBN (Electronic) | 9783319553573 |

ISBN (Print) | 9783319553566 |

DOIs | |

State | Published - Jun 1 2017 |

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'On the density of coprime tuples of the form (n, [f<sub>1</sub>(n)],...,[f<sub>k</sub>(n)]), where f<sub>1</sub>,...,f<sub>k</sub> are functions from a hardy field'. Together they form a unique fingerprint.

## Cite this

Bergelson, V., & Richter, F. K. (2017). On the density of coprime tuples of the form (n, [f

_{1}(n)],...,[f_{k}(n)]), where f_{1},...,f_{k}are functions from a hardy field. In*Number Theory - Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy's 60th Birthday*(pp. 109-135). Springer International Publishing. https://doi.org/10.1007/978-3-319-55357-3_5