@article{oai:u-ryukyu.repo.nii.ac.jp:02012658,
author = {Kimoto, Kazufumi},
journal = {Ryukyu Mathematical Journal},
note = {In the article, we give several formulas for a certain zonal spherical function on the symmetric group in terms of polynomial functions on matrices called the alpha-determinant and wreath determinant. We also explain the relation between these objects and the Alon-Tarsi conjecture on the enumeration of Latin squares. In particular, we give an alternative proofs of (i) Glynn’s result on a special case of the Alon-Tarsi conjecture, and (ii) the result due to Kumar and Landsberg on the equivalence between a special case of Kumar’s conjecture on plethysms and the Alon-Tarsi conjecture. Most of the results given here are already announced in the articles [8, 9].},
pages = {5--19},
title = {WREATH DETERMINANTS, ZONAL SPHERICAL FUNCTIONS ON SYMMETRIC GROUPS AND THE ALON-TARSI CONJECTURE},
volume = {34}
}