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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 299, Pages 56–61
DOI: https://doi.org/10.1134/S0371968517040033 (Mi tm3849) 		 
On complete rational arithmetic sums of polynomial values

V. N. Chubarikov

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968517040033
Abstract: New estimates are obtained for complete arithmetic sums of polynomial values (exponential sums, sums of Dirichlet characters, and sums of Bernoulli polynomials) in the case where the derivative of the polynomial in the argument of the sum has no multiple roots modulo primes dividing the period of these arithmetic sums.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00071
This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00071.
Received: April 25, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 299, Pages 50–55
DOI: https://doi.org/10.1134/S008154381708003X
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: V. N. Chubarikov, “On complete rational arithmetic sums of polynomial values”, Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, MAIK Nauka/Interperiodica, Moscow, 2017, 56–61; Proc. Steklov Inst. Math., 299 (2017), 50–55
Citation in format AMSBIB
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\pages 56--61
\publ MAIK Nauka/Interperiodica
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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