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Analytic Number Theory ResearchAdvanced Mathematical TheoriesAdvanced Mathematical Identities

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

Wenpeng Zhang, Wencong Liu

2026.1.5Frontiers of Mathematics

DOI: 10.1007/s11464-025-0130-0

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.

Citation format

ZHANG, Wenpeng; LIU, Wencong. On the 2κ-th power mean of one kind character sums modulo an odd prime. Frontiers of Mathematics, 2026.