DLMF:

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

Figure 21.4.4 (See in context.)

Figure 21.4.4: A real-valued scaled Riemann theta function: $\mathop{\hat{\theta}\/}\nolimits\!\left(ix,iy\middle|\boldsymbol{{\Omega}}_{1}\right)$ , $0\leq x\leq 4$ , $0\leq y\leq 4$ . In this case, the quasi-periods are commensurable, resulting in a doubly-periodic configuration.

Annotations:

Symbols:: $\mathop{\hat{\theta}\/}\nolimits\!\left(\mathbf{z}\middle|\boldsymbol{{\Omega}% }\right)$ : scaled Riemann theta function and $\boldsymbol{{\Omega}}$ : a Riemann matrix
Permalink:: http://dlmf.nist.gov/21.4.F4.mag
Encodings:: Magnified png, VRML, X3D, pdf

© 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