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arXiv · 2211.07314

A short proof of the strong three dimensional Gaussian product inequality

Ronan Herry·Dominique Malicet·Guillaume Poly
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Abstract

We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or computer-assisted methods, and allows us to solve the case of any triple of even positive integers which remained open so far.

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Ronan Herry, Dominique Malicet, Guillaume Poly. 2022-11-14. A short proof of the strong three dimensional Gaussian product inequality. https://doi.org/10.1090/proc/16448

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