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

Yoshihiro Ônishi

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

Yoshihiro Ônishi

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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.

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BibTeX RIS

Yoshihiro Ônishi. 2004-06-15. Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani). https://arxiv.org/abs/math/0105189

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