An extremal problem related to generalizations of the Nyman-Beurling and Báez-Duarte criteria

Dimitar K. Dimitrov, Willian D. Oliveira

We establish generalizations of the Nyman-Beurling and Báez-Duarte criteria concerning lack of zeros of Dirichlet $L$-functions in the semi-plane $\Re (s)>1/p$ for $p\in (1,2]$. We…