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Effective results on linear dependence f...
Sha, Min...
Effective results on linear dependence for elliptic curves by Sha, Min ( Author )
Australian National University
06-09-2023
Given a subgroup $\Gamma$ of rational points on an elliptic curve $E$ defined over ${\mathbf Q}$ of rank $r \ge 1$ and any sufficiently large $x \ge 2$, assuming that the rank of $\Gamma$ is less than $r$, we give upper and lower bounds on the canonical height of a rational point $Q$ which is not in the group $\Gamma$ but belongs to the reduction of $\Gamma$ modulo every prime $p \le x$ of good reduction for $E$.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.1596
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