JournalsrlmVol. 34, No. 1pp. 127–144

Northcott numbers for the weighted Weil heights

  • Masao Okazaki

    National Institute of Technology (KOSEN), Oyama College, Tochigi, Japan

  • Kaoru Sano

    Nippon Telegraph and Telephone Corporation, Tokyo, Japan
Northcott numbers for the weighted Weil heights cover
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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