Difference between revisions of "Ramanujan tau of a power of a prime"
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Revision as of 00:51, 23 December 2016
Theorem
The following formula holds for prime numbers $p$ and $r>0$: $$\tau(p^{r+1})=\tau(p)\tau(p^r)-p^{11}\tau(p^{r-1}),$$ where $\tau$ denotes Ramanujan tau.
