Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)

Abstract

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 process from this generalization. In Appendix a determinant expression of D.G. Cantor is also given.

In this 8th version, Corollary 4.2 and Lemma 6.4 are particularly rewritten. (AMS-TeX, 30 pages)

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