Euler's pentagonal theorem is the following equation: $\prod\limits_{n=1}^{+\infty}(1-q^n)=\sum\limits_{m=-\infty}^{+\infty}(-1)^m q^{\frac{3m^2-m}{2}}$ where $|q|<1$ is a complex number. I hope that someone will me some hints on this.
How to prove Euler's pentagonal theorem? Some hints will help
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number-theory
combinatorics
complex-analysis
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2have you looked at wikipedia? http://en.wikipedia.org/wiki/Pentagonal_number_theorem – 2011-08-05
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0Er...You are right.I should have first looked it up in the WIKI. – 2011-08-05
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2See also Lecture 3 of [Fuchs-Tabacnikov. Mathematical Omnibus](http://www.math.psu.edu/tabachni/Books/taba.pdf) – 2011-08-05