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On the Residues of a Cubic Polynomial (Mod p )

Published online by Cambridge University Press:  20 November 2018

K. McCann  and
K.S. Williams
K. McCann
Affiliation:
Manchester University Manchester, England
K.S. Williams
Affiliation:
Carleton University Ottawa, Canada
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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

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 1 , April 1967 , pp. 29 - 38
Copyright
Copyright © Canadian Mathematical Society 1967

References

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