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

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

2001-05-23

arxiv.org/abs/math/0105189v8

Mathematics

Number Theory

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

Scientific paper

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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