Timeline for Infinite sums of inverses of degree $3$ polynomials
Current License: CC BY-SA 2.5
14 events
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| Jan 9, 2011 at 14:10 | answer | added | Michael Renardy | timeline score: 1 | |
| Jan 8, 2011 at 16:22 | comment | added | Luis H Gallardo | @darij: Try to compute the Fourier series of $x^2$ over an interval of length $2 \pi$ centered in zero. Then deduce the classic formula for the infinite sum of inverses of the squares of all natural numbers. | |
| Jan 8, 2011 at 14:57 | history | edited | Luis H Gallardo | CC BY-SA 2.5 |
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| Jan 6, 2011 at 14:44 | comment | added | darij grinberg | And I know what a Fourier series is. I don't know what it has to do with your methodd. | |
| Jan 6, 2011 at 14:38 | comment | added | darij grinberg | Oh, I see your first $S$ is different from your $S(x)$. Anyway, your comments are seriously messed up LaTex-wise, so I'm not any wiser noew. | |
| Jan 6, 2011 at 4:12 | answer | added | Gerry Myerson | timeline score: 0 | |
| Jan 5, 2011 at 22:08 | comment | added | Luis H Gallardo | @darij I tried: "Fourier series" in google. They ssended me to: wikipedia article: Fourier Series and then I choose: "Simple Fourier series". | |
| Jan 5, 2011 at 21:56 | comment | added | Luis H Gallardo | $S(x)$ is the Fourier series of f(x).$ We ``choose" $f(x)$ (I do not know exactly "how") such that in $S(x)$ appear terms of the form : $c(n)/P(n).$ The choice of $x$ "clears" the $c(n).$ $S(\pi)$ means just replace $x$ by $\pi$ in the formal expression of the fourier series $S(x).$ Probably somebody else can explain this correctly ! | |
| Jan 5, 2011 at 21:40 | comment | added | darij grinberg | And what does $S(\pi)$ mean? | |
| Jan 5, 2011 at 21:40 | comment | added | darij grinberg | Thing is, I don't know it. What is the relation between $P$ and the function $f$? | |
| Jan 5, 2011 at 21:29 | comment | added | Luis H Gallardo | @darij: I am afraid... I thinked that the method is well known and everywhere used. Do not hesitate to edit my post if you feel this is appropriate to the understanding of the question. | |
| Jan 5, 2011 at 21:24 | history | edited | Luis H Gallardo | CC BY-SA 2.5 |
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| Jan 5, 2011 at 21:19 | comment | added | darij grinberg | Sorry, but there is no way to understand the method from your post without knowing it beforehand. | |
| Jan 5, 2011 at 20:56 | history | asked | Luis H Gallardo | CC BY-SA 2.5 |