Abelian functions for trigonal curves of genus three

J. C. Eilbeck, V. Z. Enolski, S. Matsutani, Y. Ônishi, E. Previato

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37 Citations (Scopus)


We develop the theory of generalized Weierstrass s- and P-functions defined on a general trigonal curve of genus three. In particular, we give a list of the associated partial differential equations satisfied by the P-functions, a proof that the coefficients of the power series expansion of the s-function are polynomials of coefficients of the defining equation of the curve, and the derivation of two addition formulae. © The Author 2007.

Original languageEnglish
Article numberrnm140
JournalInternational Mathematics Research Notices
Publication statusPublished - 2007


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