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arXiv · 2504.12366

A Recipe For Obtaining Algebraic Addition Theorems Of The Weierstrass Elliptic Function

Efe Gürel
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Abstract

In this paper, we present a general method for obtaining addition theorems of the Weierstrass elliptic function $\wp(z)$ in terms of given parameters. We obtain the classical addition theorem for the Weierstrass elliptic function as a special case. Furthermore, we give novel two-term addition, three-term addition, duplication and triplication formulas. New identities for elliptic invariants are also proven.

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BibTeXRIS

Efe Gürel. 2025-04-16. A Recipe For Obtaining Algebraic Addition Theorems Of The Weierstrass Elliptic Function. https://doi.org/10.1080/10652469.2026.2626952

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