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 Two criteria for weak generalized localization for multiple trigonometric Fourier series of functions in $L_p$, $p\geqslant1$I. L. Bloshanskii 243 Explicit construction of class field theory for a multidimensional local fieldS. V. Vostokov 283 Isoperimetric inequalities for multivarifoldsDào Trong Thi 309 On the zeros of the function $\zeta(s)$ in the neighborhood of the critical lineA. A. Karatsuba 326 Canonical singularities of three-dimensional hypersurfacesD. G. Markushevich 334 On an estimate for the smallness of sets of points of nondifferentiability of functions as related to the degree of approximation by rational functionsE. A. Sevast'yanov 369 An asymptotic formula for the number of representations by totally positive ternary quadratic formsYu. G. Teterin 393 Green functions and cohomologyHoàng Lê Minh 427 On some numerical characteristics of multidimensional Fano varietiesV. V. Batyrev 445