论文标题
多维小除数函数
Multidimensional small divisor functions
论文作者
论文摘要
这是一个简短的说明,从Arxiv:1906.07410,Arxiv:2009.04955概括为多指数。我们建议首先考虑这两个参考。如果尺寸均匀且大于$ 2 $,我们将获得非阳性积分重量的极性谐波MAAß形式。我们提供尺寸的明确示例$ 4 $,$ 6 $,$ 8 $和$ 10 $。
This is a short note generalizing the construction from arXiv:1906.07410, arXiv:2009.04955 to multi-indices. We recommend to consider both references first. We obtain polar harmonic Maaß forms of non-positive integral weight if the dimension is even and greater than $2$. We provide explicit examples in dimension $4$, $6$, $8$, and $10$.