Roots of unity and covering sets

DOI10.1007/BF01350330zbMath0203.35205OpenAlexW1978816967MaRDI QIDQ2541735

Morris Newman

Publication date: 1971

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162138

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25)

Related Items (19)

An Approach to the Herzog-Schönheim Conjecture Using Automata ⋮ A non-analytic proof of the Newman-Znám result for disjoint covering systems ⋮ Lattice parallelotopes and disjoint covering systems ⋮ New results for covering systems of residue sets ⋮ About an extension of the Davenport-Rado result to the Herzog-Schonheim conjecture for free groups ⋮ The structure and number of Erdős covering systems ⋮ On disjoint covering systems with precisely one repeated modulus ⋮ ON m-COVERS AND m-SYSTEMS ⋮ Tile the group ⋮ Herzog–Schönheim conjecture, vanishing sums of roots of Unity and convex polygons ⋮ Disjoint covering systems of rational Beatty sequences ⋮ On disjoint residue classes ⋮ Some results on the structure of unary unambiguous automata ⋮ Clique numbers of graphs and irreducible exact \(m\)-covers of the integers ⋮ The Herzog–Schönheim conjecture for finitely generated groups ⋮ Balanced words and dynamical systems ⋮ Complementing and exactly covering sequences ⋮ Natural exact covering systems and the reversion of the Möbius series ⋮ Unnamed Item

Cites Work

• On exactly covering systems of arithmetic sequences

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