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Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...
Nous prouvons un nouveau type de théorème d'universalité pour la fonction zêta de Riemann et d'autres fonctions L (qui sont universelles au sens du théorème de Voronin). Contrairement aux théorèmes ...
We study the Ruelle and Selberg zeta functions for C r Anosov flows, r > 2, on a compact smooth manifold. We prove several results, the most remarkable being (a) for C ∞ flows the zeta function is ...
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