Neville's primitive elliptic functions: the case \bf g₃ = 0

2016/03/22 by P. L. Robinson, Robinson, P. L.
Mathematics · #33E05 #Advanced Mathematical Identities #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #math.CV #msc:33E05

paper · pdf · doi:10.48550/arxiv.1603.07216

arxiv created 2016/03/22 · openalex publication_date 2016/03/22 · arxiv updated 2016/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The vanishing of the invariant g₃ attached to a lattice Λ singles out a midpoint lattice and yields a square-root of the associated Weierstrass function \wp_Λ.

Related

• Eighth lattice points
• The Weierstrass \wp-function of the hexagonal lattice
• Notes on the Weierstrass Elliptic Function
• The Elliptic Functions in a First-Order System
• On Weierstrass \wp in signature 3