Abstract
Consideration is given to problems relating to the growth of limit functions of sequences of Dirichlet polynomials in horizontal strips of specific width.
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A. F. Leont'ev, “On the convergence of a sequence of Dirichlet polynomials,” Dokl. Akad. Nauk SSSR,108, No. 1, 23–26 (1956).
J. F. Ritt, “On certain points in the theory of Dirichlet series,” Amer. J. Math.,50, 73–86 (1928).
S. Mandelbrojt, Applicable Series, Regularization of Sequences, and Applications [Russian translation], Moscow (1955).
A. F. Leont'ev, “On the question of the growth of functions defined by Dirichlet series and some other more general series,” Matem. Sb.,63, No. 2, 227–237 (1964).
A. F. Leont'ev, “On completeness of the system\(\{ e^{\lambda n^z } \} \) in a closed strip,” Dokl. Akad. Nauk SSSR,152, No. 2, 266–268 (1963).
A. F. Leont'ev, “Series of Dirichlet polynomials and their generalizations,” Trudy Matem. In-ta Akad. Nauk SSSR,39 (1951).
B. Ya. Levin, Distribution of the Roots of Entire Functions [in Russian], Moscow (1956).
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Translated from Matematicheskie Zametki, Vol. 3, No. 5, pp. 553–564, May, 1968.
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Sadykhov, G.S. On the growth in a strip of functions defined by series of Dirichlet polynomials. Mathematical Notes of the Academy of Sciences of the USSR 3, 353–359 (1968). https://doi.org/10.1007/BF01150989
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DOI: https://doi.org/10.1007/BF01150989