  By combining classical techniques together with two novel asymptotic
identities contained in [FL], we analyse certain single sums of Riemann-zeta
type. In addition, we analyse Euler-Zagier double exponential sums for
particular values of $Re\{u\}$ and $Re\{v\}$ and for a variety of sets of
summation, as well as particular cases of Mordell-Tornheim double sums. Some of
these results are used in [F] where a novel approach to the Lindel\"of
hypothesis is presented.
