>

True.

> EulerGamma=0.57721566490153286061

>

> Zeta= Riemann Zeta Function

>

> k=constant

>

> We have

>

> Limit a,b->infty Zeta[a/b]+Zeta[b/a] = 2*EulerGamma - 1

> a=/=b |a-b| <k

This is an immediate consequence of the fact that near s=1, Zeta(s) can be approximated by

Zeta(s)=1/(s-1) + EulerGamma + O(|s-1|)

See for example Titchmarsh's "Theory of the Riemann Zeta-Function", p.16.

Mike