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math.CO2026
The construction of -analogues via -series and -difference equations
John M. Campbell
We apply the EKHAD-normalization method given in our recent work to obtain, via the -version of Zeilberger's algorithm, -WZ pairs such that $\sum_{k = 0}^{\infty} F(…
math.CO2025
Lexical tableaux and quasisymmetric functions
John M. Campbell, Spencer Daugherty
There is a natural bijection between standard immaculate tableaux of composition shape and length and the $ \left\{ \begin{smallmatrix} n \\ k \end{smallm…
math.CO2023
A generalization of immanants based on partition algebra characters
John M. Campbell
We introduce a generalization of immanants of matrices, using partition algebra characters in place of symmetric group characters. We prove that our immanant-like function on squar…