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Uncovers exact calculations of quadratic character sums in polynomials, suggesting new insights into elliptic curves.
The main aim of this paper is using the already know results on the elliptic curve over a fixed prime field and the elementary methods to study the calculating problem of one kind 2 k -th power mean of the quadratic character sums of the polynomials, and give some exact calculating formulas and a general asymptotic formula for them.
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Zhang et al. (2026) studied this question.
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