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description Journal article public Journal of the Indonesian Mathematical Society

Pick's Formula and Generalized Ehrhart Quasi-polynomials

Takayuki Hibi, Miyuki Nakamura, Ivana Natalia Kristantyo Samudro, Akiyoshi Tsuchiya
Published October 2015

Abstract

By virtue of Pick's formula, the generalized Ehrhart quasi-polynomial of the triangulation $\mathcal{P} \subset \mathbb{R}^2$ with the vertices $(0,0), (u(n),0), (0,v(n))$, where $u(x)$ and $v(x)$ belong to $\mathbb{Z}[x]$ and where $n=1,2, \ldots$, will be computed.DOI : http://dx.doi.org/10.22342/jims.21.2.192.71-75

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