Sketch of a Proof of an Intriguing Conjecture of Karola Meszaros and Alejandro Morales Regarding the Volume of the D_n Analog of the Chan-Robbins-Yuen Polytope (Or: The Morris-Selberg Constant Term Identity Strikes Again!)

2014/07/10 by Doron Zeilberger, Zeilberger, Doron
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1407.2829

openalex publication_date 2014/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Morris-Selberg Constant Term Identity, I sketch a proof of a recent conjecture by Karola Meszaros and Alejandro Morales, that I believe could be easily made fully rigorous by a sufficiently skilled and, sufficiently interested, analyst. This conjecture is an analog to the root system D_n of a conjecture made in 1998 by Clara Chan, the late David P. Robbins, and David Yuen, that I proved immediately after, also using the Morris identity.

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