Tau Function/Examples/1

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Example of Use of $\tau$ Function

The value of the $\tau$ function for the integer $1$ is $1$.


Proof

By definition, the $\tau$ function of an integer $n$ is the number of positive integer divisors of $n$.

There is only one positive integer which is a divisor of $1$, and that is $1$ itself.

Hence the result.

$\blacksquare$