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Matematicheskie Zametki, 1978, Volume 23, Issue 4, Pages 505–514 (Mi mzm8165)  
Estimates of remainder terms in the theory of perturbed Dirichlet characters

I. V. Elistratov

Saratov State University
Full-text PDF (526 kB)
Abstract: Lower and upper estimates for a summatory function of the principal Dirichlet character, perturbed on a finite set of prime numbers, are considered. It is shown that in the case of perturbation on a prime number, the remainder terms in these lower and upper estimates have one and the same order.
Received: 23.06.1977
English version:
Mathematical Notes, 1978, Volume 23, Issue 4, Pages 275–281
DOI: https://doi.org/10.1007/BF01786955
Bibliographic databases:
UDC: 511.29
Language: Russian
Citation: I. V. Elistratov, “Estimates of remainder terms in the theory of perturbed Dirichlet characters”, Mat. Zametki, 23:4 (1978), 505–514; Math. Notes, 23:4 (1978), 275–281
Citation in format AMSBIB
\Bibitem{Eli78}
\by I.~V.~Elistratov
\paper Estimates of remainder terms in the theory of perturbed Dirichlet characters
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 4
\pages 505--514
\mathnet{http://mi.mathnet.ru/mzm8165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=491545}
\zmath{https://zbmath.org/?q=an:0406.10035|0382.10030}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 4
\pages 275--281
\crossref{https://doi.org/10.1007/BF01786955}
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