deletions | additions       diff --git a/section_Another_Form_begin_equation__.tex b/section_Another_Form_begin_equation__.tex  index e70de1c..2ff3f14 100644  --- a/section_Another_Form_begin_equation__.tex  +++ b/section_Another_Form_begin_equation__.tex 
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these are then statements that \begin{equation}  (1+x^2)(1+x^3)(1+x^5)(1+x^7)(1+x^{11})(1+x^{13})\cdots=\exp\left(\frac{1}{2}(2x^2-2x^4)+\frac{1}{3}(3x^3-3x^6)+\frac{1}{4}(2x^4-2x^8)+\frac{1}{5}(5x^5-5x^{10})+\cdots \right)  \end{equation}  we also seem to have \begin{equation}  \sum_{q=1}^\infty \frac{1}{q}\sum_{s|q} sx^q(1-x^q) = \log\left(\prod_{k=1}^\infty 1+x^{s_k} \right)  \end{equation}  where $s$ is a square free number, and $s_k$ is the $k^{th}$ square free number.