What is the Sum of negative integers of zeta function? $$ \sum_{s=1}^{\infty} \zeta(-s) = \zeta(-1) + \zeta(-2) + \zeta(-3) + \zeta(-4) + ... $$ The negative even number of the zeta function is zero. and the negative odd number appears alternately. It is likely that there will be some value in analytical continuation.
Thank you.