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arxiv: 1102.0701 · v1 · pith:NNC425TXnew · submitted 2011-02-03 · 🧮 math.GT

On zeros of the Alexander polynomial of an alternating knot

classification 🧮 math.GT
keywords alphaalexanderknotpolynomialprovetwo-bridgealternatingclass
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We prove that for any zero {\alpha} of the Alexander polynomial of a two-bridge knot, -3 < Re({\alpha}) < 6. Furthermore, for a large class of two-bridge knots we prove -1<Re({\alpha}).

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