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Rational Points of Bounded Height on Compactifications of Anisotropic Tori

Victor V. Batyrev, Yuri Tschinkel

alg-geomarXiv:alg-geom/9411009

Abstract

We investigate the analytic properties of the zeta-function associated with heights on equivariant compactifications of anisotropic tori over number fields. This allows to verify conjectures about the distribution of rational points of bounded height.

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