= Solution
An <elliptic function> is a meromorphic $f:\mathbb C\to\widehat{\mathbb C}$ with two real-linearly independent periods $\omega_1,\omega_2$. A fundamental cell may be taken as the half-open parallelogram
$$
z_0+\{s\omega_1+t\omega_2:0\leq s,t<1\},
$$
with $z_0$ chosen so that its boundary contains no zero or pole under discussion. The argument principle and cancellation on opposite sides show that a nonconstant elliptic <function> has the same number of zeros and poles in a cell, counting multiplicity.
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