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Rational Points on Weighted projective Spaces

An-Wen Deng
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Abstract

In this paper,we count the rational points on the weighted projective spaces defined over number fields w.r.t. ``size''. An asymptotic formula which generalizes the result of Schanuel's ``Heights in number fields'' is obtained. Furthermore, we count also the rational points on the product of weighted projective spaces.

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An-Wen Deng. 1998-12-14. Rational Points on Weighted projective Spaces. https://arxiv.org/abs/math/9812082

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