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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     author = {McCann, K. and Williams, K.S.},
     title = {On the {Residues} of a {Cubic} {Polynomial} {(Mod} p )},
     journal = {Canadian mathematical bulletin},
     pages = {29--38},
     year = {1967},
     volume = {10},
     number = {1},
     doi = {10.4153/CMB-1967-004-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-004-0/}
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