Erratum to `Some Limits of the Colored Jones Polynomials of the Figure-eight Knot`

- Journal title : Kyungpook mathematical journal
- Volume 56, Issue 2, 2016, pp.639-645
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2016.56.2.639

Title & Authors

Erratum to `Some Limits of the Colored Jones Polynomials of the Figure-eight Knot`

Murakami, Hitoshi;

Murakami, Hitoshi;

Abstract

In [3] the main theorem was erroneously stated. We needed to assume that the irrationality measure of 1/r is finite to prove the theorem.

Keywords

colored Jones polynomial;knot;figure-eight knot;volume conjecture;Lobachevski function;cone-manifold;

Language

English

References

1.

Y. Bugeaud, Distribution modulo one and Diophantine approximation, Cambridge Tracts in Mathematics, vol. 193, Cambridge University Press, Cambridge, 2012.

2.

D. Duverney, Number theory, Monographs in Number Theory, vol. 4, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010, An elementary introduction through Diophantine problems.

3.

H. Murakami, Some limits of the colored Jones polynomials of the figure-eight knot, Kyungpook Math. J., 44(3)(2004), 369-383.