关于高斯最小值猜测的一个注记

A note on the Gaussian minimum conjecture

摘要:

高斯分布又叫正态分布，在数学、统计学、物理及工程等领域有重要应用. 与高斯分布相关的不等式一直吸引着众多学者的关注,其中一个著名的例子是高斯最小值猜测. 本文证明该猜测成立当且仅当 n=2.

Abstract:

Gaussian distribution， also called normal distribution, plays an important role in mathematics, statistics, physics, engineering etc. Inequalities on Gaussian distribution attract many attentions, in which a famous example is the Gaussian minimum conjecture. In this note, we show that this conjecture holds if and only if n=2.