Solutions of the triangle equations with Z_n×Z_n-symmetry and matrix analogs of the Weierstrass zeta- and sigma-functions

The matrix analogs of Weierstrass's zeta and sigma functions are introduced. It is proved that in the case of Z_n×Z_n-symmetry the classical Τ-matrix coincides with the matrix zeta-function, whereas the quantum R-matrix is expressible as a ratio of matrix sigma-functions. The obtained formulas are considered to be the result of averaging over the period lattice.