Skip to main content

All Questions

Tagged with
1 question with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
1 vote
0 answers
511 views

How to show that the trace of a regularized Laplacian defined on two sphere with radius $h\geq 1$ is diverging logarithmically?

Let $h,m\in[1,\infty)$. I would like to verify that the following sum diverges logarithmically \begin{equation} \sum_{d=0}^{\infty} \frac{2d+1}{2h^2(1+\frac{d(d+1)}{h^2})(1+\frac{d(d+1)}{h^2m ^2})^{2}}...
Azam's user avatar
  • 311