Integral points in rational polygons: a numerical semigroup approach
Combinatorics
2019-07-03 v1
Abstract
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational vertices. This is the basic case for computing the number of integral points inside a rational (not necessarily convex) polygon.
Cite
@article{arxiv.1907.01226,
title = {Integral points in rational polygons: a numerical semigroup approach},
author = {Guadalupe Márquez-Campos and Jorge L. Ramírez-Alfonsín and José M. Tornero},
journal= {arXiv preprint arXiv:1907.01226},
year = {2019}
}