The Lemniscate

2012/03/12 by David A. Cox · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Arc (geometry) #Arithmetic #Biology #Combinatorics #Division (mathematics) #Function (biology) #Geometry #Mathematics #Multiplication (music) #Polynomial and algebraic computation #Pure mathematics

paper · doi:10.1002/9781118218457.ch15

openalex publication_date 2012/03/12 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/29

Abstract

This chapter contains sections titled: Division Points and Arc Length The Lemniscatic Function The Complex Lemniscatic Function Complex Multiplication Abel's Theorem

Citations

• The lemniscate and Fagnano's contributions to elliptic integrals
• Elliptic Functions and Elliptic Integrals
• Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First
• Reciprocity Laws

Cited by

• Lemniscate elliptic functions [wikipedia]

Related

• The Lemniscatic Functions
• The Lemniscate of Bernoulli, Without Formulas
• Algebraicity of the division points of the trifolium and related topics
• Cutting the lemminscate of Fagnano into equal parts
• Sharp Bounds for the Arc Lemniscate Sine Function