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Reine Angew. Math. : Uber Gauß’ zahlentheoretische Arbeiten. Materialien f¨ ur eine wissenschaftliche Biographie von Gauß, ed. by F. Klein and M. Brendel, Heft 1. : Johann Peter Gustav Lejeune Dirichlet. Dokumente f¨ ur sein Leben und Wirken. (Abh. Dt. Akad. Wiss. Berlin, Kl. , Phys. Techn. 1959, No. : Uber die F¨ orderung deutscher Mathematiker durch Alexander von Humboldt. In: Alexander von Humboldt. Gedenkschrift zur 100. Wiederkehr seines Todestages. Berlin: Akademie-Verlag, 1959, pp. : Dirichletiana.

Xn ) = 1. Throughout this work we shall work with the height metrized by the choice of norm |x| := max0 i n |xi |. Given a suitable Zariski open subset U ⊆ V , the goal is then to study the quantity (1) NU,H (B) := #{x ∈ U (Q) : H(x) B}, as B → ∞. It is natural to question whether the asymptotic behaviour of NU,H (B) can be related to the geometry of V , for suitable open subsets U ⊆ V . Around 1989 Manin initiated a program to do exactly this for varieties with ample anticanonical divisor [FMT89].

Abh. Dt. Akad. Wiss. Berlin, Kl. , Techn. 1960, No. : Alexander von Humboldts wissenschaftsorganisatorisches Programm bei ¨ der Ubersiedlung nach Berlin. -Ber. Dt. Akad. Wiss. -R. ): Briefwechsel zwischen Alexander von Humboldt und Carl Friedrich Gauß. -R. ): Briefwechsel zwischen Alexander von Humboldt und Peter Gustav Lejeune Dirichlet. : Die Mathematik und ihre Dozenten an der Berliner Universit¨ at, 1810– 1933. -R. ): Carl Friedrich Gauß. Der “F¨ urst der Mathematiker” in Briefen und Gespr¨ achen.

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