Fungrim entry: ec4f56

\mathop{\operatorname{zeros}\,}\limits_{\tau \in \mathcal{F}} E_{6}\!\left(\tau\right) = \left\{i\right\}

TeX:

\mathop{\operatorname{zeros}\,}\limits_{\tau \in \mathcal{F}} E_{6}\!\left(\tau\right) = \left\{i\right\}

Definitions:

Fungrim symbol	Notation	Short description
`Zeros`	$\mathop{\operatorname{zeros}\,}\limits_{x \in S} f(x)$	Zeros (roots) of function
`EisensteinE`	$E_{k}\!\left(\tau\right)$	Normalized Eisenstein series
`ModularGroupFundamentalDomain`	$\mathcal{F}$	Fundamental domain for action of the modular group
`ConstI`	$i$	Imaginary unit

Source code for this entry:

Entry(ID("ec4f56"),
    Formula(Equal(Zeros(EisensteinE(6, tau), ForElement(tau, ModularGroupFundamentalDomain)), Set(ConstI))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC