book part or chapter
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
2017
Number Theory – Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy’s 60th Birthday
Let k∈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 {n∈N:gcd(n,⌊f_1(n)⌋,…,⌊f_k(n)⌋)=1} exists and equals 1/ζ(k+1), where ζ is the Riemann zeta function.
Type
book part or chapter
ArXiv ID
1611.08044
Author(s)
Bergelson, Vitaly
Date Issued
2017
Publisher
Publisher place
Cham
Published in
Number Theory – Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy’s 60th Birthday
ISBN of the book
978-3-319-55357-3
Start page
109
End page
135
Written at
OTHER
EPFL units
Available on Infoscience
November 26, 2021
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