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

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2024-01, Vol.152 (1), p.403-409
Hauptverfasser: Herry, Ronan, Malicet, Dominique, Poly, Guillaume
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16448