- #1
futurebird
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Homework Statement
I am reading about integer partitions. I'm learning a proof and I don't understand what would seem to be a simple step... as the book presents it without comment:
[tex]\prod_{n=1}^{\infty} \frac{1-q^{2n}}{1-q^{n}}=\prod_{n=1}^{\infty} \frac{1}{1-q^{2n-1}} [/tex]
The fractions presented are not algebraically equivalent outside of the infinite product... So, it's something about the product that makes this possible. I also know that [tex]|q|<1[/tex]... What is going on?