Abstract
One investigates the problem of the accuracy of upper estimates by the method of the “large sieve.”
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Literature cited
K. F. Roth, “Remark concerning integer sequences,” Acta Arith.,9, No. 3, 257–260 (1964).
H. L. Montgomery, “Topics in multiplicative number theory,” Lect. Notes Math., No. 227, Springer-Verlag, Berlin (1971).
A. Sárközy, “Some remarks concerning irregularities of distribution of sequences of integers in arithmetic progressions, IV,” Acta Math. Acad. Sci. Hungar.,30 No. 1–2, 155–162 (1977).
K. F. Roth, “Irregularities of sequences relative to arithmetic progressions, I,” Math. Ann.,169, 1–25 (1967).
Yu. V. Linnik and A. A. Ren'i (A. Rényi), “On certain conjectures in the theory of Dirichlet's characters,” Izv. Akad. Nauk SSSR, Ser. Mat.,11, No. 6, 519–546 (1947).
E. Bombieri and H. Davenport, On the large sieve method, in: Abh. aus Zahlentheorie und Analysis zur Erinnerung an Edmund Landau, Berlin (1968), pp. 11–22.
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 125–133, 1979.
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Sokolovskii, A.V. Lower estimates in the “large sieve”. J Math Sci 17, 2166–2173 (1981). https://doi.org/10.1007/BF01567595
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DOI: https://doi.org/10.1007/BF01567595