Evaluating Two Determinants

Abstract

This article evaluates the determinants of two classes of special matrices, which are both from a number theory problem. Applications of the evaluated determinants can be found in [arXiv:math.NT/0509523]. Note that the two determinants are actually special cases of Theorems 20 and 23 in [arXiv:math.CO/9902004], respectively. Since this paper does not provide any new results, it will not be published anywhere.

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