Q: iphone 5s and blue screen of death

If your iOS device restarts, displays the Apple logo, or powers off while you're using it

If that does not work bring the phone to an Apple store

Try a reset.

Press and hold the Sleep/Wake button and the Home button together for at least ten seconds, until the Apple logo appears.

If that doesn't help, tap Settings > General > Reset > Reset All Settings

If that didn't help, restore your iPhone >  Back up and restore your iPhone, iPad, or iPod touch using iCloud or iTunes - Apple Support

Thanks Carolyn. Had the exact same problem as M.King2116. The "Reset All Settings" worked perfectly for me, no restart or Blue Screen of Death for 2 days and my iPhone 5S seems snapier too! This trick is much less of a hassle then restoring. (thought some would like to know what works for some).

I'm sorry to say the problem wasn't solved after all, the blue screen of death + multiple reboots is back. How come we cannot find any answer as to what it is caused by? I read hardware problem or battery or memory failure. This is a real pain...