Cite this article as:
Matveev V. A. An Estimate of a Certain Summatory Functions Class. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 72-76. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-72-76
Language:
Russian
Heading:
UDC:
511.3
An Estimate of a Certain Summatory Functions Class
Abstract:
In this paper summatory functions of form P n·x h(n)nit, 1 · |t| · T for finite-valued functions h(n) of natural argument with bounded sum function are estimated
Key words:
References
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2. Dem’ianov V. F., Malozemov V. N. Vvedenie v minimaks [Introduction to minimax]. Moscow, Nauka, 1982 (in Russian).
3. Gel’fond A. O. Ob arifmeticheskom ekvivalente analitichnosti L-riada Dirikhle na priamoi [On certain arithmetical equivalent of analytic property of Dirichlet Lseries on Re s = 1 line]. Izbrannye trudy [Selectas], Moscow, Nauka, 1973. pp. 310–328 (in Russian).
4. Matveev V. A., Matveeva O. A. On behavior in critical strip of Dirichlet series with finite-valued coefficients and bounded summatory function. Chebyshevskii sbornik [Chebyshev collection], 2012, vol. 13, iss. 2, pp. 106–116 (in Russian).
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