Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Modular lambda function

Number Theory

In mathematics, the modular lambda function is a highly symmetric holomorphic function defined on the complex upper half-plane. It is invariant under the fractional linear action of the congruence group Gamma(2) and generates the function field of the corresponding quotient, making it a Hauptmodul for the modular curve X(2); at each point of its domain, its value can be described as a cross ratio of the branch points of a ramified double cover of the projective line by an elliptic curve. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Function 1
Connections

Is Kind Of Object

Functions, Concepts

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Modular Lambda Function (Wikipedia)
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.