Luis Báez‐Duarte

collaborators

4 papers

math.NT2005

A divergent Vasyunin correction

Luis Baez-Duarte

V. I. Vasyunin has introduced special sequences of step functions related to the strong Nyman-Beurling criterion that converge pointwise to 1 in $[1, \infty)$ . We show here that the…

math.PR2005

On the spatial mean of the Poincare cycle

Luis Baez-Duarte

Let $X$ be a measure space and $T : X \to X$ a measurable transformation. For any measurable $E \subseteq X$ and $x \in E$ , the possibly infinite return time is $n_E(x):=\inf\{n>0: T^n…

math.NT2005

A general strong Nyman-Beurling Criterion for the Riemann Hypothesis

Luis Baez-Duarte

For each $f:[0,\infty)\to\Com$ formally consider its co-Poisson or Müntz transform $g (x) = \sum_{n \geq 1} f (n x) - \frac{1}{x} \int_{0}^{\infty} f (t) d t$ . For certain $f$ 's with both $f, g \in…

math.NT2005

Moebius-convolutions and the Riemann hypothesis

Luis Baez-Duarte

The well-known necessary and sufficient criteria for the Riemann hypothesis of M. Riesz and Hardy-Littlewood, based on the order of growth at infinity along the positive real axis…