Solving algebraic equations in terms of A-hypergeometric series

被引：35

作者：

Sturmfels, B ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

DISCRETE MATHEMATICS | 2000年 / 210卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0012-365X(99)00126-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The roots of the general equation of degree n satisfy an A-hypergeometric system of differential equations in the sense of Gel'fand, Kapranov and Zelevinsky. We construct the n distinct A-hypergeometric series solutions for each of the 2(n-1) triangulations of the Newton segment. This works over any field whose characteristic is relatively prime to the lengths of the segments in the triangulation. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：171 / 181

页数：11

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