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  "body": "\n## Definition\n\nLet $U \\subseteq \\mathbb{C}$ be an open set and let $f : U \\to \\mathbb{C}$ be [[holomorphic|0DG0Z72CQD]] on $U$.\nA zero of $f$ is a point $z_0 \\in U$ with $f(z_0) = 0$.\n\n## Remarks\n\nThe zeros of $\\sin$ are the numbers $k\\pi$ with $k \\in \\mathbb{Z}$. The [[complex exponential|054VXHMCA3]] has no zeros.\nEach zero has an [[order|064N002TX4]], a positive integer or $\\infty$.\nIf $f$ is not the zero function on a [[domain|097KNJFJ7V]], its zeros are [[isolated|0K83KEJ43P]].\n\n## Explanations\n\n### L1 human\n\nA zero of a function is a point where the function takes the value $0$, as for real functions.\nFor example, $z^2 + 1$ has the zeros $i$ and $-i$.\n",
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