A characterization of covering equivalence

dc.creatorPan, Hao
dc.creatorSun, Zhi-Wei
dc.date2004-09-27
dc.date2007-10-22
dc.date.accessioned2026-07-07T08:37:25Z
dc.date.available2026-07-07T08:37:25Z
dc.descriptionLet 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.
dc.identifierhttps://arxiv.org/abs/math/0409521
dc.identifierhttp://arxiv.org/abs/math/0409521
dc.identifierActa Arith. 129(2007), no.4, 397-402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140390
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11B25; 11A07; 11B75
dc.titleA characterization of covering equivalence
dc.typetext

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