A decomposition theorem on differential polynomials of theta functions

Hisasi Morikawa
1984 Nagoya mathematical journal  
Letτ = (τij) be a symmetric complexg = gmatrix with the positive definite imaginary part. A theta function of levelnmeans an entire functionf(z) ingcomplex variablesz= (zl...,zg) satisfying the difference relations:
doi:10.1017/s0027763000021176 fatcat:k4zhrsslk5culkh3tnptijvalq