DLMF:

21 Multidimensional Theta Functions Properties 21.4 Graphics 21.4 Graphics 21.5 Modular Transformations

Figure 21.4.5 (See in context.)

Figure 21.4.5: The real part of a genus 3 scaled Riemann theta function: $\realpart{\mathop{\hat{\theta}\/}\nolimits\!\left(x+iy,0,0\middle|\boldsymbol{% {\Omega}}_{2}\right)}$ , $0\leq x\leq 1$ , $0\leq y\leq 3$ . This Riemann matrix originates from the genus 3 Riemann surface represented by the algebraic curve $\mu^{3}+2\mu-\lambda^{4}=0$ ; compare §21.7(i).

Annotations:

Symbols:: $\mathop{\hat{\theta}\/}\nolimits\!\left(\mathbf{z}\middle|\boldsymbol{{\Omega}% }\right)$ : scaled Riemann theta function, $\realpart{}$ : real part and $\boldsymbol{{\Omega}}$ : a Riemann matrix
Permalink:: http://dlmf.nist.gov/21.4.F5.mag
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© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 21.4 Graphics 21.5 Modular Transformations