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arXiv · 2105.04307

The Weierstrass $\wp$-function of the hexagonal lattice

Vassilis G. Papanicolaou
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Abstract

We present some properties of the Weierstrass $\wp$-function associated to the hexagonal (or triangular) lattice. In particular, with the help of an old theorem of I.N. Baker \cite{B} on the characterization of meromorphic solutions of the equation $X^3 + Y^3 = 1$ we determine the zeros of the function $\wp'(z) \pm \sqrt{3}$.

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Vassilis G. Papanicolaou. 2021-05-10. The Weierstrass $\wp$-function of the hexagonal lattice. https://arxiv.org/abs/2105.04307

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