Euler phi

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The Euler phi function (not to be confused with the Euler totient) is defined for $q \in \mathbb{C}$ with $|q|<1$ by $$\phi(q) = \displaystyle\prod_{k=1}^{\infty} 1-q^k.$$

Properties

Relationship between Euler phi and q-Pochhammer

References

Number theory functions