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arxiv: math/0105187 · v3 · submitted 2001-05-23 · 🧮 math.NT · math.AG

Determinant Expressions for Hyperelliptic Functions in Genus Three

classification 🧮 math.NT math.AG
keywords determinantformulacasecurvedivisionellipticexpressionexpressions
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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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