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...normally refers to the more general class of sequences such that <math>x_{mn}=x_mx_n</math> whenever m and n are coprime. A completely multiplicative fu ...cative sequence (that is, a sequence <math>(x_n)</math> such that <math>x_{mn}=x_mx_n</math> for every m,n) such that its partial sums <math>x_1+\dots+x_ ...

...i i s/2} \exp( -\frac{t \pi^2}{64} ) (2\pi i M)^{s-1} \Psi(\frac{s-2\pi i MN}{2\pi i M})</math> ...