Abelian Functions for Trigonal Curves of Genus Three

被引：32

作者：

Eilbeck, J. C. ^{[1
,2
]}

Enolski, V. Z. ^{[3
]}

Matsutani, S.

Onishi, Y. ^{[4
]}

Previato, E. ^{[5
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

[3] Inst Magnetism, UA-142 Kiev, Ukraine

[4] Iwate Univ, Fac Humanities & Social Sci, Morioka, Iwate 0208550, Japan

[5] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

关键词：

D O I：

10.1093/imrn/rnm140

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the theory of generalized Weierstrass sigma- 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 sigma-function are polynomials of coefficients of the defining equation of the curve, and the derivation of two addition formulae.

引用

页数：38

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