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arxiv: math/0105189 · v8 · submitted 2001-05-23 · 🧮 math.NT · math.AG

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

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keywords appendixdeterminantformulageneralizationhyperellipticcantorcurvesexpression
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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.

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