3 papers
math.NT2023
Northcott numbers for generalized weighted Weil heights
Masao Okazaki, Kaoru Sano
We give a generalization of weighted Weil heights. These heights generalize both Weil's heights and Dobrowolski's height. We study Northcott numbers for our heights. Our results ge…
math.NT2022
Relative Northcott numbers for the weighted Weil heights
Masao Okazaki
It is fundamental in number theory to calculate lower bounds for height functions. Grizzard studied lower bounds for the Weil height in a relative setting. Vidaux and Videla introd…
math.NT2022
Northcott numbers for the weighted Weil heights
Masao Okazaki, Kaoru Sano
We answer the question of Vidaux and Videla about the distribution of the Northcott numbers for the Weil height. We solve the same problem for the weighted Weil heights. These heig…