2023/09/16 by John S. Caughman, Taiyo S. Terada, Caughman, John S. +1
Mathematics · #33C45 (Primary) 26D15 (Secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2309.08869
openalex publication_date 2023/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we resolve a conjecture of Kresch and Tamvakis. Our result is the following. Theorem: For any positive integer D and any integers i,j (0≤ i,j ≤ D), the absolute value of the following hypergeometric series is at most 1: 4F3 [ -i, i+1, -j, j+1
1, D+2, -D ; 1 ]. To prove this theorem, we use the Biedenharn-Elliott identity, the theory of Leonard pairs, and the Perron-Frobenius theorem.