My smart phone doesn't tell me when there is email. The are only three distractions I allow on my smart phone.
1. Phone calls. If I was reading my e-reader and my cell phone rang, I would answer it anyway so it is no more of a distraction.
2. Scheduled appointments. If it is time to meet someone I WANT to be notified. So again, no issue here.
3. Texts. I hardly use texts. My wife might send me one to let me know where to meet her. More efficient and less of a distraction than a phone call.
The Internet, video and Angry Birds don't reach out and make me play or interrupt me while I am reading - I control that.