I was looking into this a little, and it looks like you might be able to get the serial number back in the about window by resetting the PRAM (
http://docs.info.apple.com/article.html?path=Mac/10.6/en/26871.html ), though this is an old article and they claim that the issue was fixed, as far as PRAM. Still, you can give it a try.
It also looks like having the main logic board replaced during a repair will prevent the serial number from being displayed. My understanding is that a chip on the logic board provides this information to the about box, so if the logic board is replaced it would no longer report the correct serial number, and therefor reports no serial number at all. ...as is my understanding 😉
So, was your logic board replaced during a repair?
...and there was one report of someone having a logic board replaced and then later seeing the serial number in the about box again, so.. hmmm... very mysterious.