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Jun 3, 2018 at 23:37 comment added Tom Price By the way, regarding your response to my last paragraph – I vaguely recall, from when I was thinking about this stuff more a few months ago, coming up with a definition of something more or less equivalent to V which more closely resembled the l-adic picture, but I would have to dig this up in my notes to be sure.
Jun 3, 2018 at 23:37 comment added Tom Price I also have the hunch (but no proof) that the roots are not algebraic in general, although maybe something much weaker holds, like in certain circumstances, the transcendental roots still manage to add up to something rational (I acknowledge that, event with this information, it’s not clear how one would proceed, but it seems like this would be some progress at least).
Jun 3, 2018 at 23:31 comment added Tom Price Thanks for your response. It’s useful to at least get some confirmation that there probably isn’t much in the literature that points to an affirmative answer. I will accept this answer until someone else posts something more informative.
Jun 3, 2018 at 23:31 vote accept Tom Price
Jun 2, 2018 at 9:33 history answered Filippo Alberto Edoardo CC BY-SA 4.0