论文标题
Habiro元素扩展系数的渐近和符号模式
Asymptotics and sign patterns for coefficients in expansions of Habiro elements
论文作者
论文摘要
我们证明了渐近学和研究符号模式，用于在Habiro环中满足奇怪身份的元素扩展中的系数。作为一种应用，我们证明了渐近学并讨论了源自与彩色琼斯多项式相关的Kontsevich-Zagier系列产生的广义鱼类数量的阳性。这扩展了Zagier对Fishburn数字的渐近学的结果。
We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics and discuss positivity for the generalized Fishburn numbers which arise from the Kontsevich-Zagier series associated to the colored Jones polynomial for a family of torus knots. This extends Zagier's result on asymptotics for the Fishburn numbers.
