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Bull. Korean Math. Soc. 2014; 51(2): 539-545
Printed March 1, 2014
https://doi.org/10.4134/BKMS.2014.51.2.539
Copyright © The Korean Mathematical Society.
Log-concavity and zeros of the Alexander polynomial
Alexander Stoimenow
Gwangju Institute of Science and Technology School of General Studies
We show that roots of log-concave Alexander knot polynomials are dense in $\mathbb C$. This in particular implies that the log-concavity and Hoste's conjecture on the Alexander polynomial of alternating knots are (essentially) independent.
Keywords: genus, alternating knot, Alexander polynomial, dense, polynomial root
MSC numbers: Primary 57M25; Secondary 11C08
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