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 In memory of Vladimir Igorevich Arnold Spaces of differential forms and maps with controlled distortionS. K. Vodop'yanov 5 On a problem of Berenstein–Gay and its generalizationsV. V. Volchkov, Vit. V. Volchkov 33 On the massiveness of exceptional sets of the maximum modulus principleV. I. Danchenko 63 Steiner symmetrization and the initial coefficients of univalent functionsV. N. Dubinin 75 Gram's law and Selberg's conjecture on the distribution of zeros of the Riemann zeta functionM. A. Korolev 83 Real three-dimensional biquadricsV. A. Krasnov 119 On polynomial integrals of a mechanical system on a two-dimensional torusA. E. Mironov 145 Quasi-measures, Hausdorff $p$-measures and Walsh and Haar seriesM. G. Plotnikov 157 On properties of the space of quantum states and their application to the construction of entanglement monotonesM. E. Shirokov 189