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

From specialfunctionswiki
Jump to: navigation, search
(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...")
(No difference)

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.

Proof

References