Talk:Sum of Reciprocals of Squares Alternating in Sign

Title
In my opinion it would make more sense to have the title as "Sum of Reciprocals of Squares Alternating in Sign" instead, then we can have a generalisation for arbitrary exponents in the denominator, under the current title. I feel that the relations between the polylogarithm (I'm not sure if we even have a definition page for this) and the $\zeta$ function is worth a mention at some point whether on this article or elsewhere. This series for example is equal to $\displaystyle \frac 1 2 \zeta(2) = -\mathrm{Li}_2(-1) = -\int_1^2 \frac{\ln t}{1-t} \mathrm dt$. (this relationship is why $\zeta$ crops up so much in integrals) Caliburn (talk) 10:45, 4 March 2018 (EST)


 * Good call. I misnamed it. --prime mover (talk) 15:12, 4 March 2018 (EST)


 * Never heard of "polylogarithm", at least, not under that name. There's lots of big gaps in this site. --prime mover (talk) 15:16, 4 March 2018 (EST)