Special values of elliptic functions at points of the divisors of Jacobi forms

Abstract

The main result of the paper gives an explicit formula for the sum of the values of even order derivatives with respect to z of the Weierstrass p-function p(tau, z) for the lattice Ztau + Z ( where tau is in the upper half-plane) extended over the points in the divisor of phi(tau; .) (where phi(tau, z) is a meromorphic Jacobi form) in terms of the coefficients of the Laurent expansion of phi(tau, z) around z = 0.