Abstract
Asymptotics for mean values of complete rational trigonometric sums modulo a power of a prime number are obtained. For polynomials of one variable these asymptotics are not improvable in the degree of averaging of those sums.
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References
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Russian Text © V.N. Chubarikov, 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 1, pp. 54–57.
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Chubarikov, V.N. On a Certain Mean Value Theorem. Moscow Univ. Math. Bull. 74, 35–37 (2019). https://doi.org/10.3103/S0027132219010078
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DOI: https://doi.org/10.3103/S0027132219010078