Integral points in rational polygons: a numerical semigroup approach

Márquez Campos, Guadalupe; Ramírez Alfonsín, Jorge Luis; Tornero Sánchez, José María

doi:10.1007/s00233-016-9820-y

Artículo

dc.creator	Márquez Campos, Guadalupe	es
dc.creator	Ramírez Alfonsín, Jorge Luis	es
dc.creator	Tornero Sánchez, José María	es
dc.date.accessioned	2016-11-28T09:34:19Z
dc.date.available	2016-11-28T09:34:19Z
dc.date.issued	2016
dc.identifier.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.
dc.identifier.issn	0037-1912	es
dc.identifier.issn	1432-2137	es
dc.identifier.uri	http://hdl.handle.net/11441/49193
dc.description.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.	es
dc.description.sponsorship	Fondo Europeo de Desarrollo Regional	es
dc.description.sponsorship	Fondo Social Europeo	es
dc.description.sponsorship	Agence nationale de la recherche	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Semigroup Forum, 1-16.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Lattice points	es
dc.subject	Numerical semigroups	es
dc.subject	Geometry of numbers	es
dc.title	Integral points in rational polygons: a numerical semigroup approach	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de álgebra	es
dc.relation.projectID	FQM-218	es
dc.relation.projectID	P12-FQM-2696	es
dc.relation.projectID	ANR-10-BLAN 0207	es
dc.relation.projectID	ECOS-Nord M13M01	es
dc.relation.publisherversion	http://download.springer.com/static/pdf/402/art%253A10.1007%252Fs00233-016-9820-y.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00233-016-9820-y&token2=exp=1480326450~acl=%2Fstatic%2Fpdf%2F402%2Fart%25253A10.1007%25252Fs00233-016-9820-y.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00233-016-9820-y*~hmac=f17c0adfa2ecfabc1e9cfa745e19afb5f0b765ef7164218e3ce70e2108972a2d	es
dc.identifier.doi	10.1007/s00233-016-9820-y	es
dc.contributor.group	Universidad de Sevilla. FQM218: Geometría Algebraica, Sistemas Diferenciales y Singularidades	es
idus.format.extent	16 p.	es
dc.journaltitle	Semigroup Forum	es
dc.publication.initialPage	1	es
dc.publication.endPage	16	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/49193
dc.contributor.funder	European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.contributor.funder	European Commission. Fondo Social Europeo (FSO)

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