Selberg积分和Aomoto积分的超行列式计算
Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
摘要：
这里考虑的hyperdeteminants是最简单的类似决定因素的高阶张量已被定义的凯莱，并只适用于张量与一个偶数的指数。我们在前一篇文章中已经表明，某些多维积分的计算可以归结为Hankel型超行列式的计算。在这里，我们进行这种计算的情况下，纯粹的代数手段塞尔伯格和Aomoto的积分。
英文摘要：
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tensors which have been defined by Cayley, and apply only to tensors with an even number of indices. We have shown in a previous article that the calculation of certain multidimensional integrals could be reduced to the evaluation of hyperdeterminants of Hankel type. Here, we carry out this computation by purely algebraic means in the cases of Selberg's and Aomoto's integrals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
