33 citations · 45 across the 9 of their papers we have counts for
11 papers
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 . We show here that the…
On the spatial mean of the Poincare cycle
Luis Baez-Duarte
Let be a measure space and a measurable transformation. For any measurable and , the possibly infinite return time is $n_E(x):=\inf\{n>0: T^n…
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 . For certain 's with both $f, g \in…
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…
A new necessary and sufficient condition for the Riemann hypothesis
Luis Baez-Duarte
We give a new equivalent condition for the Riemann hypothesis consisting in an order condition for certain finite rational combinations of the values of the Riemann zeta-function a…
On Maslanka's representation for the Riemann zeta-function
Luis Baez-Duarte
A rigorous proof is given of the hypergeometric-like representation of the Riemann-zeta function discovered by K. Maslanka.