Research article

A certain two-term exponential sum and its fourth power means

  • Received: 31 July 2020 Accepted: 18 September 2020 Published: 23 September 2020
  • MSC : 11L03, 11L05

  • The main purpose of this article is using the properties of the Legendre's symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula for it.

    Citation: Jin Zhang, Wenpeng Zhang. A certain two-term exponential sum and its fourth power means[J]. AIMS Mathematics, 2020, 5(6): 7500-7509. doi: 10.3934/math.2020480

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  • The main purpose of this article is using the properties of the Legendre's symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula for it.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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