  We analyze quantum corrections to rigid spinning strings in AdS(5)xS(5). The
one-loop worldsheet quantum correction to the string energy is compared to the
finite-size correction from the quantum string Bethe ansatz. Expanding the
summands of the string theory energy shift in the parameter \lambda/J^2 and
subsequently resumming them yields a divergent result. However, upon
zeta-function regularization this result agrees with the Bethe ansatz at the
first three orders. We also perform an analogous computation in the limit of
large winding number, which results in a disagreement with the string Bethe
ansatz prediction. A similar mismatch is observed numerically. We comment on
the possible origin of this discrepancy.
