Complete Residue System
المؤلف:
Guy, R. K.
المصدر:
Covering Systems of Congruences." §F13 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag
الجزء والصفحة:
...
5-1-2020
1025
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, ..., 
.
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.
Nagell, T. "Residue Classes and Residue Systems." §20 in Introduction to Number Theory. New York: Wiley, pp. 69-71, 1951.
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