You'll likely need to have the iPod serviced or replaced as the LCD screen may be faulty or damaged. Apple can swap it out for a flat fee or you can send it into a third party repair company who will actually replace the LCD for a smaller fee.
My ipod has the same problem but it still works. Songs are playing, charging, computer recognize it. I JUST CANT SEE ANYTHING! I tried reseting no apple logo appears. Tried restoring but still get that white screen + it got a screen burn too as i left this problem for a day! Help! What else should i do?!