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math.NT2016★ 1 cited
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 -functions in the semi-plane for . We…
math.CV2016
Sign regularity of Maclaurin coefficients of functions in the Laguerre-Pólya class
Dimitar K. Dimitrov, Willian D. Oliveira
We prove that the signs of the Maclaurin coefficients of a wide class of entire functions that belong to the Laguerre-Pólya class posses a regular behaviour.