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Jan 1, 2023 at 15:53 comment added joaopa @mcs-> Did you publish your proof?
Dec 13, 2018 at 20:54 comment added MCS (continued) 1) (Already known): certain zeroes of power series over a complete non-archimedean field are algebraic over said field. 2) (I had to prove it): a non-trivial linear combination of algebraic translates of the Iwasawa logarithm is never analytic at the point at infinity of the complex p-adic numbers.
Dec 13, 2018 at 20:54 comment added MCS Yes, they are distinct. I've fixed that. :) @CarloBeenakker: Call me crazy (I probably am), but I think I might have made a breakthrough on the problem. I've gone through my proof line-by-line several times over already, and nothing is out of place. To give a hint of what I'm doing, the argument hinges on two propositions:
Dec 13, 2018 at 20:42 vote accept MCS
Dec 13, 2018 at 20:42 history edited MCS CC BY-SA 4.0
added 9 characters in body
Dec 13, 2018 at 19:13 comment added Gerry Myerson I suippose that $\alpha_1,\dots,\alpha_N$ are meant to be distinct. Or maybe linearly independent over the rationals.
Dec 12, 2018 at 21:55 comment added Carlo Beenakker The question does not ask for advise, but I wonder whether it is advisable to choose for a Ph.D. project a problem that for a decade has resisted solution by experts.
Dec 12, 2018 at 21:47 answer added Carlo Beenakker timeline score: 14
Dec 12, 2018 at 21:10 history asked MCS CC BY-SA 4.0