Formula:DLMF:25.16:E10

<< Formula:DLMF:25.16:E9

formula in Mathematical Applications

Formula:DLMF:25.16:E11 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \EulerSumH@{-2a} \hiderel{=} \frac{1}{2} \RiemannZeta@{1-2a} \hiderel{=} -\frac{\BernoulliB{2a}}{4a} }}

Constraint(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle a = 1,2,3,\dots}}

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 H}}  : Euler sums : http://dlmf.nist.gov/25.16#SS2.p1
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 B_{n}}}  : Bernoulli polynomial : http://dlmf.nist.gov/24.2#i

Bibliography

Equation (10), Section 25.16 of DLMF.

URL links

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

<< Formula:DLMF:25.16:E9

formula in Mathematical Applications

Formula:DLMF:25.16:E11 >>