Timeline for Solving a limit about sum of series
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Apr 7, 2023 at 5:58 | comment | added | Maciej Skorski | A very nice approach by analytic combinatorics, thanks! :-) | |
Apr 6, 2023 at 13:21 | comment | added | Peter Mueller | @PietroMajer In kconrad.math.uconn.edu/blurbs/analysis/gaussianintegral.pdf Keith Conrad records 11 methods to compute the Gaussian integral, none uses this idea with the lattice point count combined with the discretization of the integral by a Riemann sum. So maybe it is worth a short note in the Amer. Math. Monthly? | |
Apr 6, 2023 at 7:53 | comment | added | Pietro Majer | It seems a discrete version of the Poisson's computation of the Gaussian integral from $\int_{\mathbb R^2}e^{-(x^2+y^2)}dxdy$ (via double integration vs integration in polar coordinates) | |
Apr 5, 2023 at 19:25 | comment | added | Pietro Majer | It’s also a cool way of evaluating $\int_0^\infty e^{-x^2}dx$, if one put it together with the other solutions | |
Apr 5, 2023 at 17:10 | vote | accept | Xu Shan | ||
Apr 5, 2023 at 17:10 | |||||
Apr 5, 2023 at 15:57 | comment | added | Conrad | it's a very cool solution | |
Apr 5, 2023 at 15:21 | history | edited | Peter Mueller | CC BY-SA 4.0 |
fixed typo
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Apr 5, 2023 at 13:52 | comment | added | Xu Shan | thanks for the answer! Btw I was not familiar with the elliptic things...but it's interesting | |
Apr 5, 2023 at 13:49 | history | answered | Peter Mueller | CC BY-SA 4.0 |