English

Northcott numbers for the weighted Weil heights

Number Theory 2022-09-05 v3

Abstract

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 heights generalize both the absolute and relative Weil height. Our results also refine those of Pazuki, Technau, and Widmer.

Cite

@article{arxiv.2204.04446,
  title  = {Northcott numbers for the weighted Weil heights},
  author = {Masao Okazaki and Kaoru Sano},
  journal= {arXiv preprint arXiv:2204.04446},
  year   = {2022}
}

Comments

16 pages

R2 v1 2026-06-24T10:43:11.519Z