On the 2κ-th Power Mean of One Kind Character Sums Modulo an Odd Prime

Wenpeng Zhang , Wencong Liu

Frontiers of Mathematics ›› : 1 -11.

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Frontiers of Mathematics ›› :1 -11. DOI: 10.1007/s11464-025-0130-0
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On the 2κ-th Power Mean of One Kind Character Sums Modulo an Odd Prime

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Abstract

This paper focuses on investigating the calculating problem of one kind 2κ-th power mean of the character sums modulo an odd prime, by employing the elementary method and the properties of the classical Gauss sums, we establish an exact calculating formula for this mean value.

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Character sums / 2κ-th power mean / calculating formula / 11L10 / 11L40

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Wenpeng Zhang, Wencong Liu. On the 2κ-th Power Mean of One Kind Character Sums Modulo an Odd Prime. Frontiers of Mathematics 1-11 DOI:10.1007/s11464-025-0130-0

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