The Möbius function $\mu (n)$ can be computed using $$\mu (n)=\sum_{\stackrel{1\le k \le n }{ \gcd(k,\,n)=1}} e^{2\pi i \frac{k}{n}}$$ (from An Introduction to the Theory of Numbers by Hardy and Wright). Maybe there is a fromula for the Möbius function which does not use the notion of divisibility. Can the Möbius function be interpolated by some analytic function?
2026-05-10 19:45:04.1778442304
Interpolation of the Möbius function
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