Difference between revisions of "Euler phi"
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(Created page with "The Euler phi function is defined as $$\phi(q) = \displaystyle\prod_{k=1}^{\infty} 1-q^k.$$ <div align="center"> <gallery> File:Qpochhammer(q,q)infty.png|Plot of $(q,q)_{\inf...") |
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Revision as of 18:56, 24 May 2016
The Euler phi function is defined as $$\phi(q) = \displaystyle\prod_{k=1}^{\infty} 1-q^k.$$
- Qpochhammer(q,q)infty.png
Plot of $(q,q)_{\infty}$ for $q \in [-1,1]$.
- Complex qpochhammer (q,q) infty.png
Domain coloring of analytic continuation of $(q,q)_{\infty}$ to the unit disk.