On the Mean Values of Certain Character Sums

Zhefeng Xu and Huaning Liu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Let q ≥ 5 be an odd number. In this paper, we study the fourth power mean of certain character sums ∑χmodq,χ-1=-1*∑1≤a≤q/4aχa4 and ∑χmodq,χ-1=1*∑1≤a≤q/4aχa4, where ∑ * denotes the summation over primitive characters modulo q, and give some asymptotic formulae.

Date: 2013
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https://doi.org/10.1155/2013/326597

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:326597

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