Formula:DLMF:25.6:E12

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \RiemannZeta''@{0} = -\tfrac{1}{2} (\ln@{2\cpi})^2 + \tfrac{1}{2} \EulerConstant^2 - \tfrac{1}{24} \cpi^2 + \StieltjesConstants{1} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \zeta}}  : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{ln}}}  : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \gamma}}  : Euler's constant : http://dlmf.nist.gov/5.2#E3
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \gamma_{n}}}  : Stieltjes constants : http://drmf.wmflabs.org/wiki/Definition:StieltjesConstants

Bibliography

Equation (12), Section 25.6 of DLMF.

URL links

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