EisensteinE

Generated from the engine's own definition: compute-engine's symbol, which we neither extend nor document by hand.

Normalized Eisenstein series Eₛ(τ) of even weight s ≥ 2, Im(τ) > 0.

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EisensteinE(number, complex | infinity) -> numberas compute-engine declares it

Typed signatures

Type	Package	Applies
`(number, complex \| infinity) -> number`	`compute-engine`	always

Domain: Compute engine

Plot

the complex plot cannot lower EisensteinE

Basic #

$E_4(i) = 3\Gamma(1/4)^8 / (2\pi)^6$ numerically

N(\mathrm{EisensteinE}(4, i), 15)

Out

1.455\,762\,892\,268\,71

Known value · mpmath 1.3.0 gamma (E4(i) = 3 Gamma(1/4)^8 / (2 pi)^6)

About

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