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Mean-value theorem for the modulus of multiple trigonometric sums
Authors:G I Arkhipov
Institution:(1) V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR
Abstract:A two-dimensional analog of the Vinogradov mean-value theorem for the modulus of trigonometric sums is proven.Translated from Matematicheskie Zametki, Vol. 17, No. 1, pp. 143–153, January, 1975.The author expresses his gratitude fo Prof. A. A. Karatsuba for guidance and Prof. S. B. Stechkin for careful consideration of the paper and useful advice.
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