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

Autor:	Papanicolaou, Vassilis G.
Rok vydání:	2021
Předmět:	Mathematics - Complex Variables Primary: 33E05. Secondary: 11D25 14H52 30C15 30D05 30D99
Druh dokumentu:	Working Paper
Popis:	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 $\wp'(z) \pm \sqrt{3}$. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.04307 Zobrazit plný text záznamu View this record from Arxiv