30A99-WeierstrassTheoremOnAdditionFormulas.tex

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\pmtitle{Weierstrass' theorem on addition formulas}
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\begin{document}
Suppose that a complex analytic function $f$ has an addition formula.  Then we can express $f$ as a composition $f = g\circ h$, where $g$ is an algebraic function and $h$ is one of the following:
\begin{itemize}
\item the identity function
\item the exponential function
\item an elliptic function
\end{itemize}
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