DLMF:23.3.E6 (Q7218)

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DLMF:23.3.E6
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    Statements

    Defining formula
    g 2 ⁡ = 2 ⁢ ( e 1 2 ⁡ + e 2 2 ⁡ + e 3 2 ⁡ ) = - 4 ⁢ ( e 2 ⁡ ⁢ e 3 ⁡ + e 3 ⁡ ⁢ e 1 ⁡ + e 1 ⁡ ⁢ e 2 ⁡ ) , Weierstrass-invariants-on-lattice 2 𝕃 2 Weierstrass-e-on-lattice 1 2 𝕃 Weierstrass-e-on-lattice 2 2 𝕃 Weierstrass-e-on-lattice 3 2 𝕃 4 Weierstrass-e-on-lattice 2 𝕃 Weierstrass-e-on-lattice 3 𝕃 Weierstrass-e-on-lattice 3 𝕃 Weierstrass-e-on-lattice 1 𝕃 Weierstrass-e-on-lattice 1 𝕃 Weierstrass-e-on-lattice 2 𝕃 {\displaystyle{\displaystyle g_{2}=2({e_{1}^{2}}+{e_{2}^{2}}+{e_{3}^{2}})=-4(e% _{2}e_{3}+e_{3}e_{1}+e_{1}e_{2}),}}
    0 references
    DLMF id
    DLMF:23.3.E6
    0 references
    Symbols used
    Q11869
    Defining formula
    e j ⁡ Weierstrass-e-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle e_{\NVar{j}}}}
    xml-id
    C23.S3.SS1.m1abdec
    0 references
    Q12054
    Defining formula
    g j ⁡ Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    xml-id
    C23.S3.EGx1.m1addec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1edec
    0 references
     
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