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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.
Authorship: Beshaj L., Gutierrez J., Shaska T.,
Fuente: Journal of Number Theory, 2020, 213, 319-346
Publisher: Elsevier
Publication date: 01/08/2020
No. of pages: 28
Publication type: Article
DOI: 10.1016/j.jnt.2019.12.012
ISSN: 0022-314X,1096-1658
Publication Url: https://doi.org/10.1016/j.jnt.2019.12.012
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BESHAJ, LUBJANA
JAIME GUTIERREZ GUTIERREZ
SHASKA, TONY
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