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11 August 2020
 
  » arxiv » math.NT/0409521

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A characterization of covering equivalence
Hao Pan ; Zhi-Wei Sun ;
Date 27 Sep 2004
Subject Number Theory; Combinatorics MSC-class: 11B25; 11A07; 11B75 | math.NT math.CO
AbstractLet 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 |{1le sle k: x=a_s (mod n_s)}| and |{1le tle 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.
Source arXiv, math.NT/0409521
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