I disagree with both Iszi and Mr Ice as per my answer in close bursts.
We start with the effect line of the power as linked in the question:
Effect: The attack creates a zone of
uplifting winds in a burst 3 centered
on the target. The zone lasts until
the end of the encounter. While within
the zone, any ally can use a move
action to shift 4 squares and ignore
difficult terrain during the shift. As
a move action, you can move the zone 5
squares.
Attack creates a zone indicates that the caster is creating a zone, not the target. Thus, we now need to look at area burst and (curiously) the mount and rider glossary for definition.
First we look in area attack:
Origin Square: You choose a square
within an area attack’s range as the
attack’s origin square, which is where
you center or start the area of
effect. You need line of effect from a
square in your space to the origin
square. For a target to be affected by
an area attack, there needs to be line
of effect from the origin square to
the target. You don’t have to be able
to see the origin square or the
target, and concealment between the
origin square and the target doesn’t
apply.
Here it strongly suggests that area bursts have an origin square, unlike close bursts which originate from all squares of the monster.
For clarification, we look at Mount and Rider:
Space: The rider and mount both
occupy the mount’s space. However, the
origin squares of the rider’s powers
and other effects do not change to the
mount’s size. Whenever the rider uses
an effect that has an origin square
(such as a melee, a ranged, an area,
or a close power), the rider first
picks where that square is located in
the mount’s space, and the effect uses
that origin square. For example, if a
Medium rider uses a close burst attack
power, the rider chooses a single
square within the mount’s space, and
the burst emanates from that square.
This rule means that if the burst
targets each creature within it,
rather than each enemy, it can hit the
mount.
Thus, origin comes from caster, origin square is 1 square, thus the caster must choose a "central" square on the target to center it on, providing that LoS and LoE are met.