Prove-that-2n-0-

Question Number 2777 by Filup last updated on 27/Nov/15

Prove that :

ζ (- 2 n) = 0

Answered by prakash jain last updated on 27/Nov/15

Functional Equation for ζ (s)

ζ (s) = 2^{s} π^{s - 1} \sin (\frac{π s}{2}) Γ (1 - s) ζ (1 - s)

s = - 2 n, n \in N^{*}

ζ (- 2 n) = 0

Commented by 123456 last updated on 27/Nov/15

n \in N^{*}

Commented by prakash jain last updated on 27/Nov/15

corrected .