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Akiyoshi Tsuchiya, Akiyoshi
Osaka University
Mathematics

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PICK'S FORMULA AND GENERALIZED EHRHART QUASI-POLYNOMIALS Hibi, Takayuki; Nakamura, Miyuki; Samudro, Ivana Natalia Kristantyo; Tsuchiya, Akiyoshi
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.192.71-75

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
Co-Authors Ivana Natalia Kristantyo Samudro, Ivana Natalia Kristantyo Miyuki Nakamura, Miyuki Takayuki Hibi, Takayuki