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math.NT2002
Two complete and minimal systems associated with the zeros of the Riemann zeta function
Jean-Francois Burnol
We link together three themes which had remained separated so far: the Hilbert space properties of the Riemann zeros, the ``dual Poisson formula'' of Duffin-Weinberger (also named…
math.NT2002
On an analytic estimate in the theory of the Riemann Zeta function and a Theorem of Baez-Duarte
Jean-Francois Burnol
We establish a uniform upper estimate for the values of zeta(s)/zeta(s+A), 0<= A, on the critical line (conditionally on the Riemann Hypothesis). We use this to give a variant, pur…