Fonctions zêta des hauteurs

de la Bretèche, Régis

Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 1, pp. 77-95.

Ce papier présente les récents progrès concernant les fonctions zêta des hauteurs associées à la conjecture de Manin. En particulier, des exemples où on peut prouver un prolongement méromorphe de ces fonctions sont détaillés.

The paper surveys recent progress towards the Height zeta functions related to the Manin’s conjecture. In particular, it details some cases where one can prove meromorphic continuation of these functions.

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