Timeline for The elliptic Lehmer problem for several independent algebraic points
Current License: CC BY-SA 3.0
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Mar 7, 2013 at 18:55 | comment | added | Vesselin Dimitrov | Regarding the addendum: Thank you very much for this observation! Indeed it works for $r$ independent points; and this should yield, as in the paper by Amoroso and David, the truth of the original elliptic Lehmer conjecture for points $P$ such that $\mathbb{Q}(P)/\mathbb{Q}$ is Galois. I wonder if Masser (or someone else) has a similar counting theorem for points of small height on higher dimensional abelian varieties (thus refining his estimate $\hat{h}(P) > cd^{-\kappa}$)? | |
Mar 7, 2013 at 14:36 | history | edited | Joe Silverman | CC BY-SA 3.0 |
Added further information about the problem
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Mar 6, 2013 at 0:53 | vote | accept | Vesselin Dimitrov | ||
Mar 6, 2013 at 0:39 | history | answered | Joe Silverman | CC BY-SA 3.0 |