In 1984, Roger Heath-Brown proved that will occur $\sigma _{0}(n)=\sigma _{0}(n+1)$ infinitely often. How did he prove that? I couldn't find the paper on the internet.
2025-01-13 02:41:26.1736736086
$\sigma _{0}(n)=\sigma _{0}(n+1)$ will occur infinitely often.
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The paper is probably
This is not freely available, unfortunately.
See also this paper by Hildebrand which extends Heath-Brown's and is freely available: