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We show how the perturbation theory results recently obtained by F.Fiamberti,A.Santambrogio, C.Sieg and D.Zanon for operator anomalous dimensions ofbeta-deformed Super-Yang-Mills theory can be reproduced from the AdS5/CFT4Y-system proposed by N.G., V.Kazakov and P.Vieira. To do this, we obtain thegeneral twisted asymptotic solution of this Y-system of functional equations.We show that existence of an additional parameter beta in the deformed theoryallows to extract rich information about the perturbation theory integralsdirectly from Y-system. Using this method we found a simple generating functionfor a broad class of such integrals.

Y-system and beta-deformed N=4 Super-Yang-Mills