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 On asymptotic formulas for orthogonal polynomialsYa. L. Geronimus 3 On the approximation of a continuous function by a linear differential transform of a polynomialM. K. Gavurin 15 On the limits of variation of the function $\psi(x,k,l)$N. G. Chudakov 31 On the complex zeros of Dirichlet's $L$-functionsK. A. Rodosskii 47 On the representation of an even number as the sum of a single prime and single almost-prime numberA. A. Rényi 57 On the representation of certain special Dirichlet series by definite integralsE. A. Anfert'eva 79 On a theorem of S. N. BernshteinB. V. Gnedenko 97 A local limit theorem for sequences of events forming a compound chain of the second orderV. I. Bityutskov 101