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math.FA2020
Polynomial approximations in a generalized Nyman-Beurling criterion
François Alouges, Sébastien Darses, Erwan Hillion
The Nyman-Beurling criterion, equivalent to the Riemann hypothesis (RH), is an approximation problem in the space of square integrable functions on , involving dilation…
math.NT2020
An exponentially averaged Vasyunin formula
Sébastien Darses, Erwan Hillion
We prove a Vasyunin-type formula for an autocorrelation function arising from a Nyman-Beurling criterion generalized to a probabilistic framework. This formula can also be seen as…