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)

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