Lattice parallelotopes and disjoint covering systems

DOI10.1016/0012-365X(87)90208-1zbMath0623.10003OpenAlexW2054924642MaRDI QIDQ1091414

Marc A. Berger, Aviezri S. Fraenkel, Alexander Felzenbaum

Publication date: 1987

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(87)90208-1

zbMATH Keywords

disjoint covering systemBurshtein's conjecturecovering functionsmaximal occurrence of a modulusNewman-Znám type lower boundoccurrence of maximal modulipartitions of lattice point parallelotopesprime factors of moduli

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25)

Related Items

An Approach to the Herzog-Schönheim Conjecture Using Automata ⋮ New results for covering systems of residue sets ⋮ About an extension of the Davenport-Rado result to the Herzog-Schonheim conjecture for free groups ⋮ On the Herzog-Schönheim conjecture for uniform covers of groups. ⋮ Herzog–Schönheim conjecture, vanishing sums of roots of Unity and convex polygons ⋮ The Herzog–Schönheim conjecture for finitely generated groups

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