Pairs of Consecutive Residues of Polynomials
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 655-666

Voir la notice de l'article provenant de la source Cambridge University Press

Let p be a large prime and let ƒ(x) be a polynomial of fixed degree d ⩾ 4 with integral coefficients, say, 1.1 Recently Mordell (8) has considered the problem of estimating the least positive residue of ƒ(x) (mod p), that is, the unique integer l (0 ⩽ l ⩽ p — 1) such that the congruence 1.2 is soluble for r = l but not for r = 0, 1, ... , l — 1.
Williams, Kenneth S. Pairs of Consecutive Residues of Polynomials. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 655-666. doi: 10.4153/CJM-1967-060-1
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