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Date: 6-10-2020
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A system of congruences mod
with
is called a complete residue system (or covering system) if every integer
satisfies
for at least one value of
. A covering system in which each integer is covered by just one congruence is called an exact covering system.
REFERENCES:
Guy, R. K. "Exact Covering Systems." §F14 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 253-256, 1994.
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