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Integral points in rational polygons: a numerical semigroup approach

 

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Author: Márquez Campos, Guadalupe
Ramírez Alfonsín, Jorge Luis
Tornero Sánchez, José María
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2016
Published in: Semigroup Forum, 1-16.
Document type: Article
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: Márquez Campos, G., Ramírez Alfonsín, J.L. y Tornero Sánchez, J.M. (2016). Integral points in rational polygons: a numerical semigroup approach. Semigroup Forum, 1-16.
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URI: http://hdl.handle.net/11441/49193

DOI: 10.1007/s00233-016-9820-y

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