Continuant, Chebyshev polynomials, and Riley polynomials

Kyeonghee Jo, Hyuk Kim

In the previous paper, we showed that the Riley polynomial ${\mathcal{R}}_K(\lambda )$ of each 2-bridge knot $K$ is split into ${\mathcal{R}}_K(-u^2)=\pm g(u)g(-u)$, for some integral coeffic…