Covering the integers with arithmetic progressions

DOI10.1017/S0004972700002550zbMath0567.10002OpenAlexW2164321197MaRDI QIDQ3682541

R. Jamie Simpson

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002550

zbMATH Keywords

exact covering systemcommon difference of arithmetic progressionnumber of arithmetic progressionsregular covering systemunion of arithmetic progressions

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25) Sequences and sets (11B99)

Cites Work

• On natural exactly covering systems of congruences having moduli occurring at most \(M\) times
• Any 𝑛 arithmetic progressions covering the first 2ⁿ integers cover all integers
• The Union of Arithmetic Progressions with Differences not Less than k

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