The density of twins of k -free numbers
Work
Year: 2014
Type: article
Abstract: For $k \geq 2$, we consider the number $A_k(Z)$ of positive integers $n \leq Z$ such that both $n$ and $n+1$ are $k$-free. We prove an asymptotic formula $A_k(Z) = c_k Z + O(Z^{14/(9k)+ε})$, where the... more
Authors Rainer Dietmann, Oscar Marmon
Cites: 6
Cited by: 11
Related to: 10
FWCI: 2.38
Citation percentile (by year/subfield): 77.42
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Life on land
Open Access status: green