@article{10902/31238, year = {2020}, month = {8}, url = {https://hdl.handle.net/10902/31238}, 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.}, publisher = {Elsevier}, publisher = {Journal of Number Theory, 2020, 213, 319-346}, title = {Weighted greatest common divisors and weighted heights}, author = {Beshaj, Lubjana and GutiƩrrez GutiƩrrez, Jaime and Shaska, Tony}, }