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Harris","submitted_at":"2017-10-12T15:06:01Z","abstract_excerpt":"For a fixed $b\\in\\mathbb{N}=\\{1,2,3,\\ldots\\}$ we say that a point $(r,s)$ in the integer lattice $\\mathbb{Z} \\times \\mathbb{Z}$ is $b$-visible from the origin if it lies on the graph of a power function $f(x)=ax^b$ with $a\\in\\mathbb{Q}$ and no other integer lattice point lies on this curve (i.e., line of sight) between $(0,0)$ and $(r,s)$. We prove that the proportion of $b$-visible integer lattice points is given by $1/\\zeta(b+1)$, where $\\zeta(s)$ denotes the Riemann zeta function. 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