Timeline for summation of oscillating functions
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 6, 2020 at 21:19 | comment | added | Kurisuto Asutora | For the second question, there might be some hope in the case $a=\sqrt{2}$ using the (very explicit) formulas for the continued fraction expansion of $\sqrt{2}$. The case $a=\pi$ seems to be much harder in this regard. | |
| Feb 5, 2020 at 17:28 | comment | added | Henri Cohen | Thanks, this completely answers my first question. | |
| Feb 5, 2020 at 13:31 | answer | added | Carlo Beenakker | timeline score: 1 | |
| Feb 5, 2020 at 12:15 | comment | added | Nemo | $S_0(a)$ can be summed using Poisson summation formula and the fact that $J_0(x)$ is band limited, see en.wikipedia.org/wiki/Schl%C3%B6milch%27s_Series | |
| Feb 5, 2020 at 11:53 | history | asked | Henri Cohen | CC BY-SA 4.0 |