On the sixth power mean of the generalized two-term exponential sums

Shiyu Liang , Wencong Liu

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (11) : 8363 -8380.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (11) :8363 -8380. DOI: 10.3934/era.2026354
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On the sixth power mean of the generalized two-term exponential sums
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Abstract

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.

Keywords

congruence equation / the generalized two-term exponential sums / sixth-power mean / computational formula

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Shiyu Liang, Wencong Liu. On the sixth power mean of the generalized two-term exponential sums. Electronic Research Archive, 2026, 34 (11) : 8363-8380 DOI:10.3934/era.2026354

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