1997 Buick Riviera dies and restarts

My 97 Buick Riviera will die while driving and automatically restart on it's own, although it doesn't always do this. Sometimes it will die at a stop sign and restart after a wait. The wait is now getting longer, this problem has been going on for about 3 weeks. During the waits when the car won't start it does however turn over. All the lights and that are working the check Engine Light comes on as it dies and when I try to restart. I've been reading alot about the fuel pump relay preoblems that seem to be associated with this make and model, but I am still not sure if that is it. If I can get any ideas sent my way that would be great, Thanks!!