Integral points in rational polygons: a numerical semigroup approach

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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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Fondo Europeo de Desarrollo Regional

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Fondo Social Europeo

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Agence nationale de la recherche

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