That's a new one but try putting the TV's IP address into the DMZ of the router and see if that helps. Also, try the other ideas in the CNET Networking forum such as using the GOOGLE DNS instead of the router's DNS.
I have a Samsung 55" plasma TV with the Smart Hub installed. The television broadcasts an non-stop stream of ARP packets to my Netgear router asking "who has 192.168.1.1, tell 192.168.1.2"). I am not seeing a response from the router, just more inquiries from the tv. All my other devices get responses from my router with my routers mac address. For some reason, my tv can still access the internet without a problem. I am just trying to figure out why the TV non stops broadcasting address requests and if there is a way to stop it.