Mathematics – Number Theory
Scientific paper
2010-12-16
Mathematics
Number Theory
10 pages
Scientific paper
It is well known that in an exact covering system in $\mathbb{Z}$, the
biggest modulus must be repeated. Very recently, S. Kim proved an analogous
result for certain quadratic fields. In this paper, we prove that S. Kim's
result holds for any algebraic number field.
Deng Yingpu
Jiang Yupeng
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