Abstract
New estimates are obtained for the mean values of Bernoulli polynomials in polynomials with real or rational coefficients.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
I. M. Vinogradov, Method of Trigonometric Sums in Number Theory, 2nd. ed. (Nauka, Moscow, 1980) [in Russian].
L.-K. Hua, Quart. J. Math. 20, 48–61 (1949).
G. I. Arkhipov, Math. Notes 17 1, 84–90 (1975).
G. I. Arkhipov, Selected Works (Orlov. Gos. Univ., Orel, 2013) [in Russian].
G. I. Arkhipov and V. N. Chubarikov, Math. USSR-Izv. 10 1, 200–210 (1976).
G. I. Arkhipov, V. N. Chubarikov, and A. A. Karatsuba, Trigonometric Sums in Number Theory and Analysis (Walter de Gruyter, Berlin, 2004).
J. Franel, Les suites de Farey et le probleme des nombres premiers (Göttinger Nachrichten, Berlin, 1924), pp. 198–201.
E. Landau, Vorlesungen über Zahlentheorie (Leipzig, 1927), Vol. 2.
N. P. Romanov, Number Theory and Functional Analysis: Collected Papers (Tomsk. Univ., Tomsk, 2013) [in Russian].
G. R. H. Greaves, R. R. Hall, M. N. Huxley, and J. C. Wilson, Mathematika 40, 51–70 (1993).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Chubarikov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 466, No. 2, pp. 152–153.
Rights and permissions
About this article
Cite this article
Chubarikov, V.N. Arithmetic sums of polynomial values. Dokl. Math. 93, 31–32 (2016). https://doi.org/10.1134/S1064562416010087
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562416010087