SiegelTheta

SiegelTheta[, s]
gives the Siegel theta function with Riemann modular matrix and vector s.

SiegelTheta[{1, 2}, , s]
gives the Siegel theta function with characteristics and .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The matrix must be symmetric, with positive definite imaginary part.
  • If is a matrix, the vectors s and v or must have length p.
  • , where n ranges over all possible vectors in the p-dimensional integer lattice.
  • , where n ranges over all possible vectors in the p-dimensional integer lattice.
  • SiegelTheta can be evaluated to arbitrary numerical precision.
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