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A problem of I. M. Vinogradov

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Literature cited

  1. I. M. Vinogradov, “A certain general property of the distribution of prime numbers,” Mat. Sb., No. 7, 365–372 (1940).

    Google Scholar 

  2. Yu. V. Linnik (U. V. Linnik), “On a theorem in the theory of primes,” Dokl. Akad. Nauk SSSR,47, No. 1, 7–9 (1945).

    Google Scholar 

  3. R. M. Kaufman, “On the distribution of {√p},” Mat. Zametki,26, No. 4, 497–504 (1979).

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  4. I. M. Vinogradov, The Method of Trigonometrical Sums [in Russian], Nauka, Moscow (1983).

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  5. A. A. Karatsuba, Principles of Analytic Number Theory [in Russian], Nauka, Moscow (1983).

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  6. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford (1951).

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  7. M. N. Huxley, “On the difference between consecutive primes,” Invent. Math.,15, 164–170 (1972).

    Google Scholar 

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Authors and Affiliations

  1. Industrial Geological Association Gidrospetsgeologiya, USSR

    S. A. Gritsenko

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  1. S. A. Gritsenko
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Translated from Matematicheskie Zametki, Vol. 39, No. 5, pp. 625–640, May, 1986.

I express my gratitude to A. A. Karatsuba for his interest and assistance.

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Gritsenko, S.A. A problem of I. M. Vinogradov. Mathematical Notes of the Academy of Sciences of the USSR 39, 341–350 (1986). https://doi.org/10.1007/BF01156670

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