Acta Mathematica Vietnamica
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JACOBI’S FORMULA FOR HESSE CUBIC CURVES
K. MATSUMOTO, T. TERASOMA, S. YAMAZAKIpp. 91-105
Abstract
In this paper, we give analogs of Jacobi’s formula for Hesse cubic curves $C(\mu)$ on theta constants and unnormalized period integrals. We also give several expressions of the modular invariant $\mu$ of $C(\mu)$ in terms of theta constants, which are reformulations of [Bi] and [Kr].