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modular forms

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https://www.novabbs.com/tech/article-flat.php?id=149165&group=sci.math#149165

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Subject: modular forms
From: dohduh...@yahoo.com (sobriquet)
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by: sobriquet - Sun, 24 Sep 2023 20:27 UTC

https://www.quantamagazine.org/behold-modular-forms-the-fifth-fundamental-operation-of-math-20230921/

"More generally, the graph looks the same when you reflect points over a diagonal line drawn through the center (or origin)."

Surely the graph of f(z)=z^2 is not symmetrical over a diagonal line through
the origin?

It does seem to be symmetrical when you reflect points in the origin.