[Authors] V. A. Malyshev [Title] Continued fractions of cubic irrationalities [AMS Subj-class] 11K50 Metric theory of continued fractions 11-04 Explicit machine computation and programs [Abstract] An integral relation for elements of the continued fraction of $\sqrt[3]{M}$ is presented. [Keywords] algebraic numbers, continued fractions [Comments] LaTeX, 11 pp., English [Contact e-mail] wmal@ryb.adm.yar.ru