Try lifting a few where they're bulging up. It's not hard labor, and requires no knowledge you won't obtain while doing it. It should be obvious whether there are roots actually trying to surface there. If not, level the dirt and add a little sand, plop the pavers back down. I think you might find that this is some routine maintenance that you can do yourself. Tap them level with a wooden or rubber mallet, or deadblow hammer.
If you do find roots, find a local arborist and ask them how much they want to look at the problem and make suggestions. Do this a couple or three times, you just might find one that would rather see you keep the tree than cut it down... and that's a good thing. Leave the pavers out, of course, so they can see the roots, if any, themselves.
I'm betting, like the others, that this has little or nothing to do with the tree's roots, and more to do with poor site planning, fill and compaction.