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Euler Identity

For $\vert z\vert < 1$,

\begin{displaymath}
\prod_{p=1}^\infty (1+z^p) = \prod_{q=1}^\infty (1-z^{2q-1})^{-1}.
\end{displaymath}

See also Jacobi Triple Product, q-Series




© 1996-9 Eric W. Weisstein
1999-05-25