Fungrim home page

Fungrim entry: b52b6f

G2 ⁣(τ)=2ζ ⁣(12,τ)G_{2}\!\left(\tau\right) = 2 \zeta\!\left(\frac{1}{2}, \tau\right)
Assumptions:τ∈H\tau \in \mathbb{H}
TeX:
G_{2}\!\left(\tau\right) = 2 \zeta\!\left(\frac{1}{2}, \tau\right)

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
EisensteinGGk ⁣(τ)G_{k}\!\left(\tau\right) Eisenstein series
WeierstrassZetaζ ⁣(z,τ)\zeta\!\left(z, \tau\right) Weierstrass zeta function
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("b52b6f"),
    Formula(Equal(EisensteinG(2, tau), Mul(2, WeierstrassZeta(Div(1, 2), tau)))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC