On the Fourth Power Mean of Generalized Three-Term Exponential Sums
Received:October 04, 2015  Revised:November 23, 2016
Key Word: generalized three-term exponential sum   identity   fourth power mean formula  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11571277) and the Science and Technology Program of Shaanxi Province (Grant Nos.2014JM1007; 2014KJXX-61; 2016GY-080; 2016GY-077).
Author NameAffiliation
Huaning LIU School of Mathematics, Northwest University, Shaanxi 710127, P. R. China 
Wanmei LI School of Mathematics, Northwest University, Shaanxi 710127, P. R. China 
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Abstract:
      The computational problem of fourth power mean of generalized three-term exponential sums is studied by using the trigonometric identity and the properties of the reduced residue system. Some explicit formulas for the fourth power mean of generalized three-term exponential sums under different conditions are given.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.02.005
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