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 The 250th anniversary of the Academy of Sciences of the USSR 491 Application of Cesàro summability methods of negative order to trigonometric Fourier series of summable and square summable functionsD. E. Men'shov 494 On the representation of an analytic function as a sum of periodic functionsA. F. Leont'ev 512 On centralizers of involutions in simple groupsV. D. Mazurov 529 On divergent Fourier series in orthogonal systemsA. S. Krantsberg 540 Schreier varieties of linear $\Omega$-algebrasM. S. Burgin 554 On the decomposition of Kähler manifolds with trivial canonical classF. A. Bogomolov 573 On automorphisms of finite groupsM. V. Khoroshevskii 576 On projective modules over polynomial ringsA. A. Suslin 588 The multiplicative structure and characteristic sets of holomorphic Noetherian operator-valued functionsA. A. Pankov 596 On rational approximations of functions with a convex derivativeA. A. Abdugapparov 611 The values of $p$-adic Hecke series at integer points of the critical stripYu. I. Manin 621