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math.NT2001
Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)
Yoshihiro Ônishi
In this paper we give quite pretty generalization of the formula of Frobenius-Stickelberger to all hyperelliptic curves. The formula of Kiepert type is also obtained by limiting pr…
math.NT2001
Determinant Expressions for Abelian Functions in Genus Two
Yoshihiro Ônishi
In this paper we generalize the formula of Frobenius-Stickelberger and the formula of Kiepert type to the genus-two case.
math.NT2001
Determinant Expressions for Hyperelliptic Functions in Genus Three
Yoshihiro Ônishi
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…