Difference between revisions of "Ramanujan tau is multiplicative"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "==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 $\tau$ d...")
 
 
Line 1: Line 1:
 
==Theorem==
 
==Theorem==
The following formula holds when the [[Greatest common divisor|greatest common divisor]] of $m$ and $n$ obey $(m,n)=1$:
+
[[Ramanujan tau]] is a [[multiplicative function]].
$$\tau(mn)=\tau(m)\tau(n),$$
 
where $\tau$ denotes [[Ramanujan tau]].
 
  
 
==Proof==
 
==Proof==

Latest revision as of 00:53, 23 December 2016

Theorem

Ramanujan tau is a multiplicative function.

Proof

References