一个平均不等式及其应用
An inequality for means with applications
摘要：
我们证明了一个随机变量的第一和第二均值的几乎平凡的不等式可以用来对深度结果进行非平凡的改进。作为应用，我们改进了关于临界线上黎曼ζ函数的下界、元素为$\pm 1$的反对称矩阵的行列式以及对称群的不可约特征标的极大序模的结果.
英文摘要：
We show that an almost trivial inequality for the first and second mean of a random variable can be used to give non-trivial improvements on deep results. As applications we improve on results on lower bounds for the Riemann zeta-function on the critical line, the determinant of a skew-symmetric matrix with entries $\pm 1$, and on the maximal order of an irreducible character of the symmetric group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
