Difference between revisions of "Ramanujan tau is multiplicative"

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Revision as of 00:50, 23 December 2016

Theorem

The following formula holds when the greatest common divisor of $m$ and $n$ obey $(m,n)=1$: $$\tau(mn)=\tau(m)\tau(n),$$ where $\tau$ denotes Ramanujan tau.

Proof

References