Remotely creating a tar file via ssh

I'm not even sure I can do this, but I want to have a script that ssh's to another server and creates a tar file on the remote server.  Is that even possible?  Here's what I have been working with, which isn't very much because I can't figure out how to make it work.

Thanks in advance for any help!
David

#!/usr/bin/ksh

server=$1

ssh $server 'tar cvf $server.logs.tar.gz /opt/bmc/Patrol3/log/Patrol*'