ELEMENTARY OF THE COMPLETE RATIONAL ARITHMETICAL SUMS
https://doi.org/10.22405/2226-8383-2015-16-3-450-459
Abstract
In the paper the estimate of the complete rational arithmetical sum from a polynomial is found. It’s is a correct on the power of a denominator with the estimate of the constant depending of the degree of a polynomial.
About the Author
V. N. Chubarikov
Механико-математический факультет
Московского государственного университета имени М. В. Ломоносова.
Russian Federation
Russian Federation
References
1. Vinogradov, I. M. 1980, "Metod trigonometricheskikh summ v teorii chisel." , [The method of trigonometric sums in the theory of numbers] 2nd edition, Nauka, Moscow, 144 pp. (Russian)
2. Chen, Jing-run. 1977, "On Professor Hua’s estimate on exponential sum" , Acta Sci. Sinica., vol. 20, № 6, pp. 711–719.
3. Arkhipov, G. I. 2013, "Izbrannye trudy." , [Selected works], Orl. Gos. Univ., Orel, 464 p. (Russian)
4. Arkhipov, G. I., Chubarikov V. N. & Karatsuba A. A. 2004, "Trigonometric Sums in Number Theory and Analysis." , De Gruyter expositions in mathematics, vol. 39, Berlin, New York, 554 p.
5. Romanov, N. P. 2013, "Teorija chisel i funkcional’nyj analiz: sbornik trudov." , [Number theory and functional analysis: collected papers], Tom. Univ., Tomsk, 478 pp. (Russian)
Review
For citations:
Chubarikov V.N. ELEMENTARY OF THE COMPLETE RATIONAL ARITHMETICAL SUMS. Chebyshevskii Sbornik. 2015;16(3):450-459. (In Russ.) https://doi.org/10.22405/2226-8383-2015-16-3-450-459
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