Hoste’s conjecture for generalized Fibonacci polynomials

DOI10.1080/00927872.2018.1477946zbMath1422.57029OpenAlexW2915506397MaRDI QIDQ4634091

Alexander Stoimenow

Publication date: 7 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1477946

zbMATH Keywords

Alexander polynomialFibonacci polynomial\(2\)-bridge knots

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Computation of special functions and constants, construction of tables (65D20) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Inequalities in the complex plane (30A10)

Related Items

Independence polynomials and Alexander-Conway polynomials of plumbing links

Uses Software

• Mathematica

Cites Work

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• On Alexander-Conway polynomials of two-bridge links
• On zeros of the Alexander polynomial of an alternating knot
• The roots of the independence polynomial of a clawfree graph
• Cardano's formula, square roots, Chebyshev polynomials and radicals
• Hoste's conjecture and roots of link polynomials
• Computing real roots of a polynomial in Chebyshev series form through subdivision
• Theory of monomer-dimer systems
• Diagram genus, generators and applications
• A Note on Fibonacci-Type Polynomials
• Hoste’s conjecture for the 2-bridge knots
• On stability of Alexander polynomials of knots and links (survey)