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Representation of the functions defined on certain Dirichlet series and the estimation of the Chebyshev function

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Literature cited

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    V. P. Burlachenko, “On a method of analytic continuation of the Riemann zeta-function,” Ukr. Mat. Zh.,20, No. 2, 238–243 (1968).

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    V. P. Burlachenko, “The logarithmic pole of a certain analytic function,” Dopovidi Akad. Nauk Ukr. RSR, Ser. A, No. 2, 102–104 (1973).

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    K. Prachar, Distribution of Prime Numbers [Russian translation], Mir, Moscow (1967).

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    P. L. Chebyshev, Collected Works [in Russian], Izd. Akad. Nauk SSSR, Moscow (1955).

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    G. M. Fikhtengol'ts, A Course of Differential and Integral Calculus [in Russian], Vol. II, Nauka, Moscow (1966).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 112–113, January–February, 1985.

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Burlachenko, V.P. Representation of the functions defined on certain Dirichlet series and the estimation of the Chebyshev function. Ukr Math J 37, 98–99 (1985). https://doi.org/10.1007/BF01056861

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Keywords

  • Dirichlet Series
  • Chebyshev Function