## Etude de l'autocorrelation multiplicative de la fonction " partie fractionnaire

- L Báez-Duarte, M Balazard, B Landreau, E Saias
- Etude de l'autocorrelation multiplicative de la…
- 2004

- Published 2005

For each f : [0, ∞) → C formally consider its co-Poisson or Müntz transform g(x) = n≥1 f (nx) − 1 x ∞ 0 f (t)dt. For certain f 's with both f, g ∈ L2(0, ∞) it is true that the Riemann hypothesis holds if and only if f is in the L2 closure of the vector space generated by the dilations g(kx), k ∈ N. Such is the case for example when f = χ (0,1] where the… CONTINUE READING

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