Riemann zeta function.

Calculus Level 4

Find the value of \(\sum _{ n=1 }^{ \infty }{ \frac { \zeta (2n)-1 }{ { 2 }^{ 2n } } } \). Answer is in \(\frac { a }{ b } \) form where \(a\) and \(b\) are relatively prime. Write answer as \(a+b\).

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