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 Statistics of the periods of continued fractions for quadratic irrationalsV. I. Arnol'd 3 Waring's problem with the Ramanujan $\tau$-functionM. Z. Garaev, V. C. Garcia, S. V. Konyagin 39 On a multidimensional generalization of Lagrange's theorem on continued fractionsO. N. German, E. L. Lakshtanov 51 Immersed polygons and their diagonal triangulationsA. O. Ivanov, A. A. Tuzhilin 67 On the connected components of moduli of real polarized K3-surfacesV. V. Nikulin 99 On simple ideal hyperbolic Coxeter polytopesP. V. Tumarkin, A. A. Felikson 123 Symplectic geometry on an infinite-dimensional phase space and an asymptotic representation of quantum averages by Gaussian functional integralsA. Yu. Khrennikov 137 On sets of large trigonometric sumsI. D. Shkredov 161 A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groupsA. I. Shtern 183