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- Modular_lambda_function abstract "In mathematics, the elliptic modular lambda function λ(τ) is a highly symmetric holomorphic function on the complex upper half-plane. It is invariant under the fractional linear action of the congruence group Γ(2), and generates the function field of the corresponding quotient, i.e., it is a Hauptmodul for the modular curve X(2). Over any point τ, its value can be described as a cross ratio of the branch points of a ramified double cover of the projective line by the elliptic curve , where the map is defined as the quotient by the [−1] involution.The q-expansion, where is the nome, is given by: . OEIS A115977By symmetrizing the lambda function under the canonical action of the symmetric group S3 on X(2), and then normalizing suitably, one obtains a function on the upper half-plane that is invariant under the full modular group , and it is in fact Klein's modular j-invariant.".
- Modular_lambda_function wikiPageID "27903678".
- Modular_lambda_function wikiPageRevisionID "596128613".
- Modular_lambda_function first "P. L.".
- Modular_lambda_function first "W. P.".
- Modular_lambda_function hasPhotoCollection Modular_lambda_function.
- Modular_lambda_function id "23.15".
- Modular_lambda_function last "Reinhardt".
- Modular_lambda_function last "Walker".
- Modular_lambda_function title "Elliptic Modular Function".
- Modular_lambda_function subject Category:Elliptic_functions.
- Modular_lambda_function subject Category:Modular_forms.
- Modular_lambda_function type Abstraction100002137.
- Modular_lambda_function type EllipticFunctions.
- Modular_lambda_function type Form106290637.
- Modular_lambda_function type Function113783816.
- Modular_lambda_function type LanguageUnit106284225.
- Modular_lambda_function type MathematicalRelation113783581.
- Modular_lambda_function type ModularForms.
- Modular_lambda_function type Part113809207.
- Modular_lambda_function type Relation100031921.
- Modular_lambda_function type Word106286395.
- Modular_lambda_function comment "In mathematics, the elliptic modular lambda function λ(τ) is a highly symmetric holomorphic function on the complex upper half-plane. It is invariant under the fractional linear action of the congruence group Γ(2), and generates the function field of the corresponding quotient, i.e., it is a Hauptmodul for the modular curve X(2).".
- Modular_lambda_function label "Modular lambda function".
- Modular_lambda_function sameAs 모듈러_람다_함수.
- Modular_lambda_function sameAs m.0ch4872.
- Modular_lambda_function sameAs Q6889722.
- Modular_lambda_function sameAs Q6889722.
- Modular_lambda_function sameAs Modular_lambda_function.
- Modular_lambda_function wasDerivedFrom Modular_lambda_function?oldid=596128613.
- Modular_lambda_function isPrimaryTopicOf Modular_lambda_function.