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arXiv · 2005.01211

A transcendence result on elliptic functions using functions of two variables

Yukitaka Abe
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Abstract

Let $\wp $ be a Weierstrass $\wp $-function with algebraic $g_2$ and $g_3$, which has a non-zero real period $\omega $. We show that at least one of $\pi r$ and $\wp(\omega r)$ is transcendental for any non-zero real number $r$.

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Yukitaka Abe. 2020-05-03. A transcendence result on elliptic functions using functions of two variables. https://arxiv.org/abs/2005.01211

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