论文标题

Theta操作员的证明

A proof of the Theta Operator Conjecture

论文作者

Romero, Marino

论文摘要

在(广义)Delta猜想及其组成形式的情况下,D'Adderio,Iraci和Wyngaerd最近说出了一个猜想,与两个对称功能运算符,$ d_k $和$θ_k$。我们证明了这个theta操作员的猜想,这是由于Mellit和Garsia的五项关系而发现的。结果,我们发现编写$ d_k $运算符的令人惊讶的方法。

In the context of the (generalized) Delta Conjecture and its compositional form, D'Adderio, Iraci, and Wyngaerd recently stated a conjecture relating two symmetric function operators, $D_k$ and $Θ_k$. We prove this Theta Operator Conjecture, finding it as a consequence of the five-term relation of Mellit and Garsia. As a result, we find surprising ways of writing the $D_k$ operators.

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