Last weekend I found a Whitetail shed antler while hiking at Fort Chaffee here in Arkansas. I found one about this time last year also. The earliest I have found one was in December after a big ice storm. (Whitetail deer shed their antlers every year prior to the re-growth of new ones.)
Here is a photo of a shed antler I found in March of 2008: A Whitetail Deer Antler Shed
Different bucks shed their antlers at different times.
In December here in Arkansas, which is considered early.
As late as April in some areas.
The same buck will shed his antlers about the same time each year.
Studies have shown that many times a buck will lose both antlers within just a day or two of each other.