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DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS

Published online by Cambridge University Press:  15 September 2005

YOSHIHIRO ÔNISHI
Affiliation:
Faculty of Humanities and Social Sciences, Iwate University, Morioka 020-8550, Japan (onishi@iwate-u.ac.jp)
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Abstract

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In this paper we give an elegant generalization of the formula of Frobenius–Stickelberger from elliptic curve theory to all hyperelliptic curves. A formula of Kiepert type is also obtained by a limiting process from this generalization. In the appendix a determinant expression of D. G. Cantor is also derived.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2005