Elliptic functions in signature four

TL;DR

This paper investigates the connections between two elliptic functions developed by Shen within the framework of Ramanujan's signature four theory, enhancing understanding of their mathematical properties.

Contribution

It provides new insights into the relationships between elliptic functions in Ramanujan's signature four, a topic not extensively explored before.

Findings

Identifies specific relationships between the two elliptic functions.

Clarifies the role of these functions within Ramanujan's theory.

Contributes to the mathematical understanding of elliptic functions in this context.

Abstract

We explore the relationships between two elliptic functions constructed by Shen in the signature four Ramanujan theory.