11-00-JordansTotientFunction.tex

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\pmtitle{Jordan's totient function}
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\usepackage{amssymb}
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\begin{document}
Let $p$ be a prime, $k$ and $n$ natural numbers.  Then

$$
  J_k(n) = n^k \prod_{p|n} ( 1-p^{-k})
$$

where the product is over divisors of $n$. 

This is a generalization of Euler's Totient Function.
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