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math.NT2023
Northcott numbers for generalized weighted Weil heights
Masao Okazaki, Kaoru Sano
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 ge…
math.NT2022
Northcott numbers for the weighted Weil heights
Masao Okazaki, Kaoru Sano
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 heig…
math.NT2016★ 34 cited
Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties
Kaoru Sano
For a dominant rational self-map on a smooth projective variety defined over a number field, Shu Kawaguchi and Joseph H. Silverman conjectured that the dynamical degree is equal to…