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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- May 2001
- DOI:
- arXiv:
- arXiv:math/0105189
- Bibcode:
- 2001math......5189O
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- In this 8th version, Corollary 4.2 and Lemma 6.4 are particularly rewritten. (AMS-TeX, 30 pages)