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arXiv · 1907.01226

Integral points in rational polygons: a numerical semigroup approach

Guadalupe Márquez-Campos·Jorge L. Ramírez-Alfonsín·José M. Tornero
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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.

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Guadalupe Márquez-Campos, Jorge L. Ramírez-Alfonsín, José M. Tornero. 2019-07-02. Integral points in rational polygons: a numerical semigroup approach. https://doi.org/10.1007/s00233-016-9820-y

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