$C_n$型与$D_n$型协调多项式之间的交错模式
An interlacing pattern between the types $C_n$ and $D_n$ coordinator polynomials
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中文总结 AI 辅助
本文针对Weyl群格的$C_n$与$D_n$型协调多项式，发现了被命名为零点交错第二模式的交错模式，补充了相关研究成果。
中文摘要 AI 辅助
Weyl群格的协调多项式研究由Conway和Sloane率先开展。2013年，Wang和Zhao采用三角代换方法证明了$D_n$型协调多项式的实根性；随后Xie和Zhang证明了$C_n$型与$D_n$型协调多项式的相容性。本文发现了$C_n$型与$D_n$型协调多项式之间的交错模式，该模式可被命名为“零点交错第二模式”。
英文摘要
The study of coordinator polynomials of Weyl group lattices was initiated by Conway and Sloane. In 2013, by using a trigonometric substitution approach, Wang and Zhao proved the real-rootedness of the type $D$ coordinator polynomials. Subsequently, Xie and Zhang proved the compatibility between the types $C_n$ and $D_n$ coordinator polynomials. In this paper, we discover the interlacing pattern between the types $C_n$ and $D_n$ coordinator polynomials, which may be named as the second pattern of interlacing zeros.
