A sufficient condition for (α, β) Somos 4 Hankel determinants

2023/05/10 by Ying Wang, Zihao Zhang, Wang, Ying +1
Computer Science · Mathematics · #11B83 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Approximation and Integration #Primary 30B70 #Secondary 05A15 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2305.05995

openalex publication_date 2023/05/10 · openalex created_date 2023/05/12 · openalex updated_date 2026/07/28

Abstract

By using Sulanke-Xin continued fractions method, Xin proposed a recursion system to solve the Somos 4 Hankel determinant conjecture. We find Xin's recursion system indeed give a sufficient condition for (α, β) Somos 4 sequences. This allows us to prove 4 conjectures of Barry on (α, β) Somos 4 sequences in a unified way.

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