  Several identities for the Riemann zeta-function $\zeta(s)$ are proved. For
example, if $s = \sigma + it$ and $\sigma > 0$, then $$ \int_{-\infty}^\infty
|{(1-2^{1-s})\zeta(s)\over s}|^2dt = {\pi\over\sigma}(1 -
2^{1-2\sigma})\zeta(2\sigma). $$
