Advanced Determinant Calculus
组合数学
2007-05-23 v3 数学物理
经典分析与常微分方程
math.MP
数论
环与代数
摘要
The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research. Second, it lists a number of such determinants that have been already evaluated, together with explanations which tell in which contexts they have appeared. Third, it points out references where further such determinant evaluations can be found.
引用
@article{arxiv.math/9902004,
title = {Advanced Determinant Calculus},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:math/9902004},
year = {2007}
}
备注
67 pages, AmS-LaTeX; Final journal version. Some further, minor modifications