On Weierstrass $\wp$ in signature 3
P.L. Robinson

TL;DR
This paper investigates the relationship between two elliptic functions in signature three, specifically relating their coperiodic Weierstrass functions, contributing to the understanding of elliptic functions in this signature.
Contribution
It precisely determines the relationship between two elliptic functions constructed by Shen in signature three, focusing on their Weierstrass functions.
Findings
Established the exact relationship between the two elliptic functions
Connected their coperiodic Weierstrass functions
Enhanced understanding of elliptic functions in signature three
Abstract
In his work on the Ramanujan theory of elliptic functions to alternative bases, Shen constructed two different elliptic functions in signature three; we determine the precise relationship between them, by precisely relating their coperiodic Weierstrass functions.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Graph theory and applications
