Zeros of the Alexander polynomial of knot
The leading coefficient of the Alexander polynomial of a knot is the most informative element derived from this invariant, and the growth of orders of the first homology of cyclic branched covering spaces is also a familiar subject. Accordingly, there are a lot of investigations in each subject. How...
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| Published in | Osaka Journal of Mathematics Vol. 44; no. 3; pp. 567 - 577 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Osaka University and Osaka City University, Departments of Mathematics
01.09.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0030-6126 |
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| Summary: | The leading coefficient of the Alexander polynomial of a knot
is the most informative element derived from this invariant,
and the growth of orders of the first homology of cyclic branched
covering spaces is also a familiar subject. Accordingly, there
are a lot of investigations in each subject. However, there
is no study which deals with both subjects in the same context.
In this paper, we show that the two subjects are closely related
in p-adic number theory and dynamical systems. |
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| ISSN: | 0030-6126 |