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A decomposition formula for the Bartholdi zeta function of a hypergraph covering

2025/10/31 by Watanabe, Kosei
Mathematics · #05C65 (Primary) #11M41 (Secondary) #Analytic Number Theory Research #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2510.27134

openalex publication_date 2025/10/31 · openalex created_date 2025/11/05 · openalex updated_date 2026/07/28

Abstract

It is shown by Mizuno and Sato that the Bartholdi zeta function of a covering graph is decomposed as a product of Bartholdi zeta functions of a base graph that are associated with representations. In this paper, we extend their result to the case of a hypergraph covering.

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