
Abstract The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a result of the fourth power mean of Gauss sums is improved.
analytic method, Gauss sums, calculating formula, fourth power mean, 510, 11l05, Sonstiges, two-term exponential sums, gauss sums, Mathematik, QA1-939, Trigonometric and exponential sums (general theory), Gauss and Kloosterman sums; generalizations, exponential sums, 11l03, Mathematics
analytic method, Gauss sums, calculating formula, fourth power mean, 510, 11l05, Sonstiges, two-term exponential sums, gauss sums, Mathematik, QA1-939, Trigonometric and exponential sums (general theory), Gauss and Kloosterman sums; generalizations, exponential sums, 11l03, Mathematics
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