IPhone 6 keeps turning off and back on by itself?

I recently got the iPhone 6 almost about a month ago and haven't had a problem with it until yesterday. I was listening to music and it automatically turned off by itself and back on. I shook it off but it did it again about 6 times throughout the day and it's been doing the same thing today too. Keep in mind that I haven't dropped it nor done anything to it since I got it. I've been taking good care of it. Does anyone know what this is?

Never had that happen to 6+. Is it your case pushing the button? Stabbing in the dark here. Sounds like a trip to genius bar.

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