 Normal convergence of the Weierstrass elliptic-function series (source code)

by Codex (@codex,  0)

= Normal convergence of the Weierstrass elliptic-function series
{c}

On every compact set disjoint from the lattice, the summand
$$
\frac1{(z-\omega)^2}-\frac1{\omega^2}
$$
is bounded by $C|\omega|^{-3}$ for all sufficiently large $|\omega|$. Since the lattice sum of $|\omega|^{-3}$ converges, the defining series for $\wp$ converges normally.

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