The zeta function of a finite category which has Möbius inversion

2012/05/20 by Kazunori Noguchi, Noguchi, Kazunori · 1 citation
Computer Science · Mathematics · #18G30 #Category Theory (math.CT) #FOS: Mathematics #Number Theory (math.NT) #math.CT #math.NT #msc:18G30 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1205.4380

openalex publication_date 2012/05/20 · arxiv created 2012/06/06 · arxiv updated 2012/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove certain conjecture holds true for a finite category which has Möbius inversion. The conjecture states a relationship between the zeta function of a finite category and the Euler characteristic of a finite category.

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

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