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arxiv: 1001.2511 · v2 · pith:MX2QR7RKnew · submitted 2010-01-14 · 🧮 math.NT

On equations σ(n)=σ(n+k) and φ(n)=φ(n+k)

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keywords sigmavarphiequationssolutionsboundsdistributiongiveupper
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We study the distribution of solutions of equations $\sigma(n)=\sigma(n+k)$ and $\varphi(n)=\varphi(n+k)$. We give new upper bounds for these solutions.

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