HALPHEN AND THE ELLIPTIC FUNCTIONS OF DU VAL

Abstract We show that the ‘ternary’ elliptic functions that were introduced and studied by Du Val in 1964 are the $n=3$ instances of n -ary elliptic functions that are defined for arbitrary integers n greater than unity. We also trace the general n -ary elliptic function back to 1886 and the ‘fort remarquable’ function of Halphen.

Institutions

Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2025-12-12
DOI
https://doi.org/10.1017/s0004972725100713
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

HALPHEN AND THE ELLIPTIC FUNCTIONS OF DU VAL

Bulletin of the Australian Mathematical Society
Algebraic Geometry and Number Theory
article

HALPHEN AND THE ELLIPTIC FUNCTIONS OF DU VAL

article en

Abstract

Abstract We show that the ‘ternary’ elliptic functions that were introduced and studied by Du Val in 1964 are the $n=3$ instances of n -ary elliptic functions that are defined for arbitrary integers n greater than unity. We also trace the general n -ary elliptic function back to 1886 and the ‘fort remarquable’ function of Halphen.

Bulletin of the Australian Mathematical Society
University of Florida (US)
Openalex Percentile: Top 24%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

HALPHEN AND THE ELLIPTIC FUNCTIONS OF DU VAL · Bulletin of the Australian Mathematical Society (2025) | TGRS Research Map | TGRS