Benedict Irwin edited section_Consequences_If_we_can__.tex  about 8 years ago

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\section{Consequences}  If we can find the relationship of the $\chi_{p_n}$ functions, then we can state the following \begin{equation}  p_n=\lim{x->0}\frac{d}{dz}\frac{\sum_{k=0}^{\varphi{p_{n-1}\#}}\chi_{p_n}(k)z^k}{1-z-z^{\varphi{p_{n-1}\#}}+z^{\varphi{p_{n-1}\#}+1}} p_n=\lim{x\to0}\frac{d}{dz}\frac{\sum_{k=0}^{\varphi{p_{n-1}\#}}\chi_{p_n}(k)z^k}{1-z-z^{\varphi{p_{n-1}\#}}+z^{\varphi{p_{n-1}\#}+1}}  \end{equation}