A characterization of covering equivalence

Details A characterization of covering equivalence A characterization of covering equivalence

2004-09-27

arxiv.org/abs/math/0409521v2

Acta Arith. 129(2007), no.4, 397-402

Mathematics

Number Theory

Scientific paper

Let A={a_s(mod n_s)}_{s=1}^k and B={b_t(mod m_t)}_{t=1}^l be two systems of residue classes. If |{1\le s\le k: x=a_s (mod n_s)}| and |{1\le t\le l: x=b_t (mod m_t)}| are equal for all integers x, then A and B are said to be covering equivalent. In this paper we characterize the covering equivalence in a simple and new way. Using the characterization we partially confirm a conjecture of R. L. Graham and K. O'Bryant.

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