Weighted greatest common divisors and weighted heights

Beshaj, Lubjana; Gutiérrez Gutiérrez, Jaime; Shaska, Tony

doi:10.1016/j.jnt.2019.12.012

dc.contributor.author	Beshaj, Lubjana
dc.contributor.author	Gutiérrez Gutiérrez, Jaime
dc.contributor.author	Shaska, Tony
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2024-01-24T15:48:05Z
dc.date.available	2024-01-24T15:48:05Z
dc.date.issued	2020-08
dc.identifier.issn	0022-314X
dc.identifier.issn	1096-1658
dc.identifier.uri	https://hdl.handle.net/10902/31238
dc.description.abstract	We introduce the weighted greatest common divisor of a tuple of integers and explore some of its basic properties. Furthermore, for a set of weights w=(q0,...,qn), we use the concept of the weighted greatest common divisor to define a height h(p) on weighted projective spaces WPwn(k). We prove some of the basic properties of this weighted height, including an analogue of the Northcott's theorem for heights on projective spaces.	es_ES
dc.format.extent	28 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.rights	© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.source	Journal of Number Theory, 2020, 213, 319-346	es_ES
dc.subject.other	Heights	es_ES
dc.subject.other	Weighted heights	es_ES
dc.subject.other	Weighted projective spaces	es_ES
dc.subject.other	Weighted greatest common divisor	es_ES
dc.title	Weighted greatest common divisors and weighted heights	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1016/j.jnt.2019.12.012	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1016/j.jnt.2019.12.012
dc.type.version	acceptedVersion	es_ES