Abstract
Let n≥4 be even, p > (n2−2n)/2 be simple odd, andf(x)=a 0+a 1+...+a nxn be a polynomial with integral coefficients that are not quadratic over the residue field modulo p, (a n, p)=1. The following inequality is proved:
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Translated from Matematicheskie Zametki, Vol. 14, No. 1, pp. 73–81, July, 1973.
The author thanks N. M. Korobov for useful remarks.
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Mit'kin, D.A. Estimate of a sum of Legendre symbols of polynomials of even degree. Mathematical Notes of the Academy of Sciences of the USSR 14, 597–602 (1973). https://doi.org/10.1007/BF01095777
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DOI: https://doi.org/10.1007/BF01095777