This paper primarily focuses on deriving an exact computational formula for a specific sixth‑power mean of generalized two-term exponential sums. To this end, we exploit the properties of trigonometric sums and character sums, together with the solution counts of certain congruence equations modulo $ p $.
Citation: Shiyu Liang, Wencong Liu. On the sixth power mean of the generalized two-term exponential sums[J]. Electronic Research Archive, 2026, 34(11): 8363-8380. doi: 10.3934/era.2026354
This paper primarily focuses on deriving an exact computational formula for a specific sixth‑power mean of generalized two-term exponential sums. To this end, we exploit the properties of trigonometric sums and character sums, together with the solution counts of certain congruence equations modulo $ p $.
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Shiyu Liang, Wencong Liu. On the sixth power mean of the generalized two-term exponential sums[J]. Electronic Research Archive, 2026, 34(11): 8363-8380. doi: 10.3934/era.2026354
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