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arxiv: 1205.4380 · v2 · pith:OYHRZOPGnew · submitted 2012-05-20 · 🧮 math.CT · math.NT

The zeta function of a finite category which has M\"obius inversion

classification 🧮 math.CT math.NT
keywords categoryfiniteconjecturefunctioninversionobiuszetacertain
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We prove certain conjecture holds true for a finite category which has M\"obius 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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