Let be a finite Galois-algebra extension of a number field F, with group G. Suppose that
is weakly ramified and that the square root
of the inverse different
is defined. (This latter condition holds if, for example,
is odd.) Erez has conjectured that the class
of
in the locally free class group
of
is equal to the Cassou–Noguès–Fröhlich root number class
associated with
. This conjecture has been verified in many cases. We establish a precise formula for
in terms of
in all cases where
is defined and
is tame, and are thereby able to deduce that, in general,
is not equal to
.