A FOURIER ANALYSIS OF QUADRATIC RIEMANN SUMS AND LOCAL INTEGRALS OF ζ(s)
Résumé
Let ζ(s), s = σ + it, be the Riemann zeta function. We use Fourier analysis to obtain, after a preliminary study of quadratic Riemann sums, a precise formula of the local integrals n+1 n |ζ(σ + it)| 2 dt, for 1 2 < σ < 1. We also study related S 2-Stepanov norms of ζ(s) in connection with the strong Voronin Universality Theorem.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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