A Strengthening of the Nyman-beurling Criterion for the Riemann Hypothesis

@inproceedings{BezDuarte2002ASO,
  title={A Strengthening of the Nyman-beurling Criterion for the Riemann Hypothesis},
  author={Luis B{\'a}ez-Duarte},
  year={2002}
}
Let ρ(x) = x − [x], χ = χ (0,1). In L2(0, ∞) consider the subspace B generated by {ρa|a ≥ 1} where ρa(x) := ρ 1 ax. By the Nyman-Beurling criterion the Riemann hypothesis is equivalent to the statement χ ∈ B. For some time it has been conjectured, and proved in this paper, that the Riemann hypothesis is equivalent to the stronger statement that χ ∈ B nat… CONTINUE READING