Stefan Steinerberger

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20242026

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math.NT2025

On an iterated arithmetic function problem of Erdos and Graham

Stefan Steinerberger

ErdÅs and Graham define $g (n) = n + I ¨ (n)$ and the iterated application $g_{k} (n) = g (g_{k - 1} (n))$ . They ask for solutions of $g_{k + r} (n) = 2 g_{k} (n)$ and observe $g_{k+2}(10) = 2…

math.NT2025

On the largest singular vector of the Redheffer matrix

The Redheffer matrix $A_{n} \in R^{n \times n}$ is defined by setting $A_{ij} = 1$ if $j = 1$ or $i$ divides $j$ and 0 otherwise. One of its many interesting properties is tha…