10 citations · 22 across the 9 of their papers we have counts for
10 papers
The distribution of primes and Euler characreristic
Kazunori Noguchi
We study the distribution of primes from a topological viewpoint. Certain conjecture is introduced, and we show that it is equivalent to the Riemann Hypothesis.
Zeros of the zeta series of a poset and iterated barycentric subdivision
Kazunori Noguchi
We study the limiting behavior of the zeros of the zeta series of a finite poset under iterated barycentric subdivision, and we indicate the possibility of its application to numbe…
The Euler characteristic of an enriched category
Kazunori Noguchi, Kohei Tanaka
We define Euler characteristic of a category enriched by a monoidal model category. If a monoidal model category V is equipped with Euler characteristic that is compatible with wea…
Ramified coverings of small categories
Kazunori Noguchi
We introduce a ramified covering of small categories, and we show three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, th…
Coverings of small categories and nerves
Kazunori Noguchi
We prove a certain proposition which states a relationship between coverings of small categories and nerves. As its application, we prove that for a covering $\map{P}{E}{B}$ of fin…
The zeta function of a finite category and the series Euler characteristic
Kazunori Noguchi
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 categ…