Formula:DLMF:25.12:E8

<< Formula:DLMF:25.12:E7

formula in Polylogarithms

Formula:DLMF:25.12:E9 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \sum_{n \hiderel{=} 1}^\infty \frac{\cos@{n \theta}}{n^2} = \frac{\cpi^2}{6} - \frac{\cpi \theta}{2} + \frac{\theta^2}{4} }}

Constraint(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle 0 \leq \theta \leq 2\cpi}}

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Sigma}}  : sum : http://drmf.wmflabs.org/wiki/Definition:sum
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{cos}}}  : cosine function : http://dlmf.nist.gov/4.14#E2
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \pi}}  : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4

Bibliography

Equation (8), Section 25.12 of DLMF.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:DLMF:25.12:E7

formula in Polylogarithms

Formula:DLMF:25.12:E9 >>