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SiegelTheta

SiegelTheta[, s]
gives the Siegel theta function Theta(Omega,s) with Riemann modular matrix Omega and vector s.
SiegelTheta[{1, 2}, , s]
gives the Siegel theta function Theta[nu_1,nu_2]( Omega,s) with characteristics nu_1 and nu_2.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The matrix Omega must be symmetric, with positive definite imaginary part.
  • If Omega is a p×p matrix, the vectors s and v or i 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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