An inequality for means with applications

Details An inequality for means with applications An inequality for means with applications

2011-05-06

arxiv.org/abs/1105.1372v1

Arch. Math. (Basel) 90 (2008), no. 2, 140--143

Mathematics

Probability

Scientific paper

10.1007/s00013-007-2249-5

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.

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