# Determinant Formulae in Abelian Functions for a General Trigonal Curve of Degree Five

@article{nishi2012DeterminantFI,
title={Determinant Formulae in Abelian Functions for a General Trigonal Curve of Degree Five},
author={Yoshihiro {\^O}nishi},
journal={Computational Methods and Function Theory},
year={2012},
volume={11},
pages={547-574}
}
• Y. Ônishi
• Published 2012
• Mathematics
• Computational Methods and Function Theory
This paper gives a natural generalization of the Frobenius-Stickelberger formula and the Kiepert formula for elliptic functions [4, 5] to the curve of genus four defined by $$\matrix{^3+ (\mu_2x + \mu_5)y^2 + (\mu_4x^2 + \mu_7x + \mu_{10})y\cr \ \ \ \ \ \ \ \ \ \ \ \ }$$ (μj are constants).
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