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I encountered an interesting function which is called "Eulerian" by the Wolfram's MathWorld:

$$\phi(q)=\prod_{k=1}^{\infty} (1-q^{k})$$

It is interesting because it seems that roots of any polynomial can be expressed in this function and elementary functions.

I want to know more about the properties of this function, where can I find the information?

  • 2
    http://en.wikipedia.org/wiki/Euler_function some sparse info2011-02-01
  • 0
    Btw, I found that in Mathematica it can be represented as $\operatorname{QPochhammer}[q^n]$2011-02-01

2 Answers 2