## Complete Residue System

A set of numbers , , ..., (mod ) form a complete set of residues, also called a covering system, if they satisfy

for , 1, ..., . For example, a complete system of residues is formed by a base and a modulus if the residues in for , ..., run through the values 1, 2, ..., .

See also Exact Covering System, Haupt-Exponent

References

Guy, R. K. Covering Systems of Congruences.'' §F13 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 251-253, 1994.

© 1996-9 Eric W. Weisstein
1999-05-26