Skip to main content

All Questions

Filter by
Sorted by
Tagged with
2 votes
0 answers
119 views

Upper and lower bounds on the number of solutions to the equation $\frac{\pi}{4} = \sum_{k=1}^{n} c_{k} \arctan \left(\frac{1}{x_{k}} \right) $

Background The Norwegian mathematician and astronomer Carl Størmer did important work on the equation $$\frac{\pi}{4} = \sum_{k=1}^{n} c_{k} \arctan \left(\frac{1}{x_{k}}\right), \label{1}\tag{1} $$ ...