Northcott numbers for generalized weighted Weil heights

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Okazaki, Masao, Sano, Kaoru
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.08.2023
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Summary: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.
ISSN:2331-8422