ipod touch restarting itself, reset, and it resets itself again...

(3rd generation i think, 32 gb) ok so I was using it, ran out of batteries aparently, and could not turn it on...came home and connected it and it got stuck on the apple logo screen... tried to do a reset thru power/home button and didnt turn back on... let it still over night and turned on on morning, tried to do reset and it asked for it to be connected to itunes, did that and it said was on recovery mode, restored and synched and it worked, but needed battery... connected it to the power outlet thru the wall and it restarted again and was reseted and asked to be connected to itunes... did that again and is asking to restore because its on recovery... then it couldn't get fixed because its showing several errors, 21, 1604, 1611, 2009, 1603, etc... I keep trying but nothing seems to work, sometimes it restores, seems that its fixed, but it restarts itself and stays on recovery mode, and now its just not starting at all sometimes...

PD... it all started after the 4.1 update

anyone have any tips, help, advice on what to do...

thanks

 

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im just about out of warranty, 2 months out... and the closest apple store is 400 miles from here... will best buy be the same? or should I just call to see whats going on... tried everything on the web that could help... and now I can only get thru DFU mode and Im stuck on that, gives me error 21 only now...

thanks

 

will they replace it/fix it, even if I am out of warranty?

I got it to DFU but it will not restore it, so it stays on that.... I went to geek squad today cuz I have some friends over there, and they couldnt... they said is something wrong on the memory... Im going to try apple customer care on the phone to see what they say... thanks... any more advice will be welcome