Timeline for What is special about polylogarithms that leads to so many interesting identities and applications?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 16 at 4:24 | comment | added | Dr Potato | It is central in number theory since it comes from the very elemental geometric series: $$Li_0(z)=\sum_{k=1}^\infty z^k =\frac{z}{1-z}$$ The successive derivatives/integrals on $z$ before multiplying by $z$ to keep the related coefficient in place suggests the generalized parameter $s$, producing a very elemental L-function easier to handle than Riemann zeta function because $Li_s(z)$ converges without issues for all $s$ if $|z|<1$. Moreover, the logarithm $Li_1(z)$ illustrates a branch cut, and this monodromy also provides a very rich and interesting complex structure for higher orders. | |
| Apr 30, 2016 at 8:19 | history | edited | Douglas Zare | CC BY-SA 3.0 |
Fixed LaTeX errors
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| Feb 7, 2011 at 1:11 | answer | added | Daniel Parry | timeline score: 4 | |
| May 23, 2010 at 17:57 | vote | accept | Akela | ||
| May 23, 2010 at 17:56 | vote | accept | Akela | ||
| May 23, 2010 at 17:56 | |||||
| May 21, 2010 at 1:13 | answer | added | AFK | timeline score: 53 | |
| May 20, 2010 at 23:43 | answer | added | Jacques Carette | timeline score: 10 | |
| May 20, 2010 at 21:27 | history | asked | Akela | CC BY-SA 2.5 |