English

Northcott numbers for generalized weighted Weil heights

Number Theory 2023-09-01 v2

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 the Northcott number. As an application, we evaluate Northcott numbers for Talamanca's spectral height on matrices.

Cite

@article{arxiv.2308.03981,
  title  = {Northcott numbers for generalized weighted Weil heights},
  author = {Masao Okazaki and Kaoru Sano},
  journal= {arXiv preprint arXiv:2308.03981},
  year   = {2023}
}

Comments

28 pages

R2 v1 2026-06-28T11:50:28.559Z