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 di-mension 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.

Automated summary

We have proven a strong form of the Gaussian product conjecture in three dimensions. Our purely analytical proof simplifies previous proofs that relied on combinatorial methods or computer-assisted methods, and it allows us to solve the case of any triple of even positive integers that has remained unsolved until now.