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Prolongements analytiques d’une classe de fonctions zêta des hauteurs et applications

Prolongements analytiques d’une classe de fonctions zêta des hauteurs et applications

In the first part of this paper, we prove that a large class of zeta functions associated to the projective space ℙ n (ℚ), (n≥1), have meromorphic continuations to the whole complex plane ℂ satisfying suitable properties and give some arithmetical consequences. In the second part, we prove that the …