The zeta function of a finite category

Details The zeta function of a finite category The zeta function of a finite category

2012-03-28

arxiv.org/abs/1203.6133v2

Mathematics

Category Theory

Scientific paper

We define the zeta function of a finite category. And we propose a conjecture
which states the relationship between the Euler characteristic of finite
categories and the zeta function of finite categories. This conjecture is
verified when categories are finite groupoids, finite acyclic categories,
categories with 2-objects and finite categories satisfying certain condition.

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