Zeros of the zeta series of a poset and iterated barycentric subdivision

2016/03/14 by Kazunori Noguchi, Noguchi, Kazunori · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1603.08562

Abstract

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 number theory.

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• A formula for the Euler characteristic of a poset through the determinant of the order-complement matrix

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