Erratum Linear wave dispersion laws in u

This erratum addresses an error found in the imaginary part of a previous publication concerning the dispersion laws of linear waves in unmagnetized relativistic plasma. The primary objective was to clarify the inaccuracies that might affect the previously reported numerical results when investigating Landau damping effects, particularly at large values of K. The methodology involved identifying specific equations where the error occurred and introducing the correct formulations. The results indicate that the error was not only present in the imaginary component but also propagated to subsequent equations, thereby influencing the conclusions drawn in the original paper. This erratum serves to inform readers about potential discrepancies in the figures and results presented in the original study, ensuring accuracy in the understanding of wave behavior in relativistic plasma contexts. Proper treatment of the error has been discussed and corrected. This ensures that future research can rely on the accuracy of the revised equations and corresponding implications for the analysis of relativistic plasma dynamics.