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http://dx.doi.org/10.5666/KMJ.2016.56.2.639

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

Murakami, Hitoshi (Graduate School of Information Sciences, Tohoku University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 639-645 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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.