Northcott numbers for the weighted Weil heights
Masao Okazaki
National Institute of Technology (KOSEN), Oyama College, Tochigi, JapanKaoru Sano
Nippon Telegraph and Telephone Corporation, Tokyo, Japan
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 this article
Masao Okazaki, Kaoru Sano, Northcott numbers for the weighted Weil heights. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 1, pp. 127–144
DOI 10.4171/RLM/1000