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Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case

Yoshihiro Ônishi

math.NTarXiv:math/0503696

Abstract

This paper gives a natural extension of Frobenius-Stickelberger formula and Kiepert formula to Abelian functions for "Purely Trigonal Curves", especially, of degree four. A description on the theory of Abelian functions for general trigonal curves of degree four is also included.

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