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
收藏
页码：539 / 545
页数：7
相关论文
共 50 条
  • [1] Log-Concavity of the Alexander Polynomial
    Hafner, Elena S.
    Meszaros, Karola
    Vidinas, Alexander
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (13) : 10273 - 10284
  • [2] Log-concavity and strong log-concavity: A review
    Saumard, Adrien
    Wellner, Jon A.
    [J]. STATISTICS SURVEYS, 2014, 8 : 45 - 114
  • [3] INFINITE LOG-CONCAVITY FOR POLYNOMIAL POLYA FREQUENCY SEQUENCES
    Branden, Petter
    Chasse, Matthew
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (12) : 5147 - 5158
  • [4] Nested Log-Concavity
    Llamas, Aurora
    Martinez-Bernal, Jose
    [J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (05) : 1968 - 1981
  • [5] On Brenti's conjecture about the log-concavity of the chromatic polynomial
    Fadnavis, Sukhada
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2012, 33 (08) : 1842 - 1846
  • [6] On Multiple and Infinite Log-Concavity
    Luis A. Medina
    Armin Straub
    [J]. Annals of Combinatorics, 2016, 20 : 125 - 138
  • [7] On the Log-Concavity of the Wright Function
    Ferreira, Rui A. C.
    Simon, Thomas
    [J]. CONSTRUCTIVE APPROXIMATION, 2023,
  • [8] Log-concavity of the partition function
    DeSalvo, Stephen
    Pak, Igor
    [J]. RAMANUJAN JOURNAL, 2015, 38 (01): : 61 - 73
  • [9] Horizontal and vertical log-concavity
    Bernhard Heim
    Markus Neuhauser
    [J]. Research in Number Theory, 2021, 7
  • [10] Log-concavity of the overpartition function
    Engel, Benjamin
    [J]. RAMANUJAN JOURNAL, 2017, 43 (02): : 229 - 241
12345