Abstract
Let $E$ be an elliptic curve defined over the real numbers $R$ and let $P \in E(R)$. In this note we give an elementary proof of necessary and sufficient conditions for the preimages of $P$ under duplication to be real-valued.
Citation
John Cullinan. "Real Preimages of Duplication on Elliptic Curves." Missouri J. Math. Sci. 29 (1) 19 - 26, May 2017. https://doi.org/10.35834/mjms/1488423698
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