What question did this study set out to answer?

The aim is to generalize the Macdonald constant term identity of type C through a new mathematical formulation.

February 12, 2026Proceedings of the American Mathematical Society0 citations

A generalization of the type 𝐶 Macdonald constant term identity

Key Points

The aim is to generalize the Macdonald constant term identity of type C through a new mathematical formulation.
Categorized variables into two distinct parts
Applied Cai's splitting approach
Formulated a closed-form expression for the constant term
Obtained a new symmetric function generalization of the Macdonald identity
Demonstrated a broader application of the identity through categorization

Abstract

In this paper, we generalize the Macdonald constant term identity of type C C by categorizing the variables into two parts. Using Cai’s splitting approach, we formulate a closed-form expression for the constant term, and obtain a symmetric function generalization of the identity.

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