Northcott numbers for generalized weighted Weil heights
Volume 217 / 2025
Acta Arithmetica 217 (2025), 235-259
MSC: Primary 11G50; Secondary 11C20, 15B33
DOI: 10.4064/aa230919-9-7
Published online: 17 January 2025
Abstract
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 generalize the authors’ former work on Vidaux and Videla’s question about Northcott numbers. As an application, we evaluate Northcott numbers for Talamanca’s spectral height on matrices.
