【摘 要】
：
We study zeros of the Jones polynomial and their distributions for torus knots and 2-bridge knots. We prove that e(2m+1)πi/2 and e(2m+1)πi/4(m is a positive i
【机 构】
：
School of Mathematics
【基金项目】
：
the National Science Foundation of China;Pro-gram for Liaoning Excellent Talents in University
论文部分内容阅读
We study zeros of the Jones polynomial and their distributions for torus knots and 2-bridge knots. We prove that e(2m+1)πi/2 and e(2m+1)πi/4(m is a positive integer) can not be the zeros of Jones polynomial for torus knots Tp,q by the knowledge of the trigonometric function. We elicit the normal form of Jones polynomials of the 2-bridge knot C (?2, 2, · · · , (?1)r 2) by the recursive form and discuss the distribution of their zeros.
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