Article
Integral points in rational polygons: a numerical semigroup approach
Author/s | Márquez Campos, Guadalupe
Ramírez Alfonsín, Jorge Luis Tornero Sánchez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2016 |
Deposit Date | 2016-11-28 |
Published in |
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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 ... 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. |
Funding agencies | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) European Commission. Fondo Social Europeo (FSO) |
Project ID. | FQM-218
P12-FQM-2696 ANR-10-BLAN 0207 ECOS-Nord M13M01 |
Citation | 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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