Formula:8459

Digital Library of Mathematical Functions ID 25.16.E10

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \EulersumH@{-2a}=\frac{1}{2}\Riemannzeta@{1-2a}=-\frac{\BernoullinumberB{2a}}{4a},}

Constraint(s)

${\displaystyle{\displaystyle a=1,2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle H\left(\NVar{s}\right)}}$:
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
 

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