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Determinant Expressions for Hyperelliptic Functions in Genus Three

Yoshihiro Ônishi

math.NTarXiv:math/0105187

Abstract

In this paper we generalize the formula of Frobenius-Stickelberger and the formula of Kiepert to genus-three case. The latter is well-known determinant expression for any division polynomial of any elliptic curve.

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