Formula:8348

Digital Library of Mathematical Functions ID 25.6.E18

${\displaystyle{\displaystyle{\left(n+\tfrac{1}{4}\right)\zeta\left(4n\right)+\tfrac{1}{2}(\zeta\left(2n\right))^{2}=\sum_{k=1}^{n}\zeta\left(2k\right)\zeta\left(4n-2k\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle n\geq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

Resources that cite this formula

No records found.