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 Chebyshevskii Sb., 2013, Volume 14, Issue 2, Pages 118–122 (Mi cheb274)

Evaluation of character sums over the continuous interval of summation

A. A. Kopanevaa, E. A. Burlakovab

a Moscow State University of Technologies and Managements
b State University — Education-Science-Production Complex, Orel

Abstract: In this paper we prove several theorems. Theorem 1, to assess the character sums over the continuous interval based on the use of the formula A. Postnikov and Theorem 2, for the right choice of parameters, estimates of this kind.

Keywords: A Prime number, the sum of Dirichlet characters, simple modules, continuous period of summation, nonprincipal character estimate of amounts formula A. G. Postnikova, short amount of characters, the exponential decrease, trigonometric sum.

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UDC: 511.3

Citation: A. A. Kopaneva, E. A. Burlakova, “Evaluation of character sums over the continuous interval of summation”, Chebyshevskii Sb., 14:2 (2013), 118–122

Citation in format AMSBIB
\Bibitem{KopBur13} \by A.~A.~Kopaneva, E.~A.~Burlakova \paper Evaluation of character sums over the continuous interval of summation \jour Chebyshevskii Sb. \yr 2013 \vol 14 \issue 2 \pages 118--122 \mathnet{http://mi.mathnet.ru/cheb274} 

• http://mi.mathnet.ru/eng/cheb274
• http://mi.mathnet.ru/eng/cheb/v14/i2/p118

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This publication is cited in the following articles:
1. M. A. Korolev, “Metody otsenok korotkikh summ Kloostermana”, Chebyshevskii sb., 17:4 (2016), 79–109
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