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Translated from Matematicheskie Zametki, Vol. 1, No. 3, pp. 355–364, March, 1967.
This article was recieved from the editorial board of the journal “Uspekhi Matematicheskik Nauk” (which received it December 15, 1964) in connection with the excellent section “Scientific Communications and Problems” in this journal.
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Khloponin, S.S. The convergence of continued fractions. Mathematical Notes of the Academy of Sciences of the USSR 1, 236–241 (1967). https://doi.org/10.1007/BF01098891
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DOI: https://doi.org/10.1007/BF01098891