# On the number of rim hook tableaux

Article

- Received:

DOI: 10.1007/BF02355806

- Cite this article as:
- Fomin, S.V. & Lulov, N. J Math Sci (1997) 87: 4118. doi:10.1007/BF02355806

## Abstract

A hooklength formula for the number of rim hook tableaux is used to obtain an inequality relating the number of rim hook tableaux of a given shape to the number of standard Young tableaux of the same shape. This provides an upper bound for a certain family of characters of the symmetric group. The analogues for shifted shapes and rooted trees are also given. Bibliography: 13 titles.

## Copyright information

© Plenum Publishing Corporation 1997