Determinant Expressions for Hyperelliptic Functions in Genus Three

Details Determinant Expressions for Hyperelliptic Functions in Genus Three Determinant Expressions for Hyperelliptic Functions in Genus Three

2001-05-23

arxiv.org/abs/math/0105187v3

Mathematics

Number Theory

AMS-TeX use 16 pages

Scientific paper

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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