I have this idea about using my cell phone that uses wifi to connect to the internet has a Boinc computer. I am wondering, does the modern cell phone have a math processor that can handle the task?

The modern push to things like the IPAD and the new Windows device, will these devices still have the same computing power has a machine with six cores and a graphic processor and largememory and hard drive capacity?

I am wondering, does the modern cell phone have a math processor that can handle the task?

No, phones normally do not have an FPU (floating point unit), or when they do, it's very basic. That being said, BOINC is already being developed for Android: AndroidBoinc. However, building BOINC for Android is one thing, without science applications you can't do much with it. So projects will have to (find the need to) develop for Android as well and port over their science apps.

the IPAD

BOINC hasn't been ported to the iPad, and won't be as long as Apple doesn't give permission.

the new Windows device

What new Windows device?

will these devices still have the same computing power as a machine with six cores and a graphic processor and large memory and hard drive capacity?

No, of course not. Maybe in another decade, but not now.

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Native-BOINC-for-Android:
http://github.com/matszpk/native-boinc-for-android