Difference between revisions of "Ramanujan tau of a power of a prime"

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(Created page with "==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 Ramanu...")
 
 
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Latest revision as of 00:53, 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.

Proof

References