The zeta function of a finite category and the series Euler characteristic

2012/07/29 by Kazunori Noguchi, Noguchi, Kazunori
Mathematics · #18G30 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Number Theory (math.NT) #math.CT #math.NT #msc:18G30

paper · pdf · doi:10.48550/arxiv.1207.6750

arxiv created 2012/07/29 · openalex publication_date 2012/07/29 · arxiv updated 2012/07/31 · openalex created_date 2016/12/08 · openalex updated_date 2026/07/28

Abstract

We prove that a certain conjecture holds true and the conjecture states a relationship between the zeta function of a finite category and the Euler characteristic of a finite category.

Citations

• The zeta function of a finite category which has Möbius inversion

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