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  "aliases": [
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  "body": "\n## Summary\n\nA branch of the logarithm on an open set $U \\subseteq \\mathbb{C} \\setminus \\{0\\}$ is a continuous function $L$ on $U$ with $e^{L(z)} = z$, see the [[definition|0SQ1F2BEDS]].\nOn a domain, two branches differ by a constant integer multiple of $2\\pi i$.\n",
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        "locator": "Branches of the complex logarithm",
        "url": "https://en.wikipedia.org/wiki/Complex_logarithm"
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