My iphone has turned itself off and won't come back on?

I have the iphone 4 8g and I have had it for only a month, it is well looked after and I locked the phone then 3 minutes later I tried to access it and it is off and will not come back on, I think I had received a phone call which could have frozen the phone, does anyone know what this is? The phone was purchased from an 02 store and is on pay as you go.

I guess a battery problem.

Never heard of that happening. It sounds like you have a battery issue if you were sure that it was charged, take it back to where you got it, its only been 1 month and they will either replace it or fix it.

Go to customer care.

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