LOG-CONCAVITY AND ZEROS OF THE ALEXANDER POLYNOMIAL

被引：2

作者：

Stoimenow, Alexander ^{[1
]}

机构：

[1] Gwangju Inst Sci & Technol Sch Gen Studies, Kwangju 500712, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 02期

关键词：

genus; alternating knot; Alexander polynomial; dense; polynomial root; ALTERNATING KNOTS; GENUS;

D O I：

10.4134/BKMS.2014.51.2.539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that roots of log-concave Alexander knot polynomials are dense in C. This in particular implies that the log-concavity and Hoste's conjecture on the Alexander polynomial of alternating knots are (essentially) independent.

引用

页码：539 / 545

页数：7

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