On the Residues of a Cubic Polynomial (Mod p )
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 29-38

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If f(x) is a polynomial with integral coefficients then the integer r is said to be a residue of f(x) modulo an integer m if the congruence is soluble for x; otherwise r is termed a non-residue. When m is a prime p, Mord ell [4] has shown that the least nonnegative residue l of f(x) (mod p) satisfies
McCann, K.; Williams, K.S. On the Residues of a Cubic Polynomial (Mod p ). Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 29-38. doi: 10.4153/CMB-1967-004-0
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[1] 1. Bombieri, E. and Davenport, H., ∼On Two Problems of Mordell. Amer. Jour. Math., 88 (1966), pages 61-70. Google Scholar

[2] 2. Carlitz, L. and Uchiyama, S., Bounds for Exponential Sums. Duke Math. Jour., 24 (1955), pages 37-41. Google Scholar

[3] 3. Lang, S. and Weil, A., Number of Points of Varieties in Finite Fields. Amer. Jour. Math., 76 (1955), pages 819-827. Google Scholar

[4] 4. Mordell, L. J., On the Least Residue and Non-residue of a Polynomial. Jour. Lond. Math. Soc, 38 (1966), pages 45. 1» 45 3. Google Scholar

[5] 5. Perel′muter, G. I., On Certain Sums of Characters. Uspektii Matematicheskik. Nauk., 18 (1966), pages 145-149. Google Scholar

[6] 6. Weil, A., On Some Exponential Sums. Proc. Nat” Acad, Sci. (U. S. A.), 34 (1944), pages 204-207. Google Scholar | DOI

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