Summation Contest Conceptual Problem-1

Calculus Level 5

n=2ζ(n)2n=lnA\large \sum _{ n=2 }^{ \infty }{ \dfrac { \zeta ( n ) }{ { 2 }^{ n } } } = \ln A

Find AA.

Hint: Try using the generating function.

Notation: ζ()\zeta(\cdot) denotes the Riemann zeta function.


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