Some Complete Residue Systems in the Gaussian Integers
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Abstract
In this paper, we study some complete residue systems in the Gaussian integers. By a complete residue system modulo where
is a Gaussian integer, abbreviated by
. The research results showed that for a positive integer
,
1) is a
,
2) is a
,
3) is a
,
4) is a
,
5) is a
,
6) is a
,
7) is a
,
8) is a
.
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References
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