Geodesic
An estimate of a~certain summatory functions class
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 72-76.

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In this paper summatory functions of form $\sum_{n\leq x}h(n)n^{it}$, $1\leq|t|\leq T$ for finite-valued functions $h(n)$ of natural argument with bounded sum function are estimated. 
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V. A. Matveev. An estimate of a~certain summatory functions class. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 72-76. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a10/

[1] Chudakov N. G., Bredikhin B. M, “Application of Parseval's identity in estimations of summatory functions of Dirichlet characters on numerical semigroups”, Ukr. Math. J., 8 (1956), 347–360 | Zbl

[2] Dem'ianov V. F., Malozemov V. N., Introduction to minimax, Nauka, Moscow, 1982 | MR

[3] Gel'fond A. O., “On certain arithmetical equivalent of analytic property of Dirichlet $L$-series on $\mathrm{Re}\,s=1$ line”, Selectas, Nauka, Moscow, 1973, 310–328 | MR

[4] Matveev V. A., Matveeva O. A., “On behavior in critical strip of Dirichlet series with finite-valued coefficients and bounded summatory function”, Chebyshev collection, 13:2 (2012), 106–116 | MR | Zbl