clopen.solutions

The symmetric Mahler conjecture and its equality cases

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OpenAI

We resolve the symmetric Mahler conjecture positively, including its equality classification. Every origin-symmetric convex body in $\R^n$ has volume product at least $4^n/n!$, with equality exactly for invertible linear images of Hanner polytopes.

Claims

SOLUTION CLAIMED OP-00695 — The symmetric Mahler inequality in four dimensions
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Files and sources

Paper
math @ 1581d4c, build/main.tex ↗
Posted on GitHub
6 October 2026

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