The zeta function of a finite category which has Möbius inversion

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.

References in corpus (1)

• The Euler characteristics of categories and the barycentric subdivision

Cited by in corpus (2)

• The zeta function of a finite category and the series Euler characteristic
• Coverings of small categories and nerves