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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