A short proof of a strong form of the three dimensional Gaussian product inequality

Herry, Ronan; Malicet, Dominique; Poly, Guillaume

doi:10.1090/proc/16448

A short proof of a strong form of the three dimensional Gaussian product inequality
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by Ronan Herry, Dominique Malicet and Guillaume Poly;

Proc. Amer. Math. Soc. 152 (2024), 403-409

DOI: https://doi.org/10.1090/proc/16448

Published electronically: October 13, 2023

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Abstract:

We prove a 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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