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On the hybrid mean value of Cochrane sums and two-term exponential sums. (English) Zbl 1289.11039
Summary: In this paper, we use the elementary and analytic methods to study the mean value properties of the Cochrane sums weighted by two-term exponential sums, and give two exact computational formulae for them.
##### MSC:
 11F20 Dedekind eta function, Dedekind sums 11L03 Trigonometric and exponential sums, general