The Erdős-Selfridge problem with square-free moduli

DOI10.2140/ant.2021.15.609OpenAlexW3164866036MaRDI QIDQ2027508

Béla Bollobás, Marius Tiba, Julian Sahasrabudhe, Robert Morris, Paul N. Balister

Publication date: 27 May 2021

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11465

zbMATH Keywords

covering systemsErdős-Selfridge problem

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25) Sieves (11N35)

Related Items (6)

Covering systems with large moduli associated with reducible shifts of integer polynomials ⋮ The structure and number of Erdős covering systems ⋮ Unnamed Item ⋮ Erdős covering systems ⋮ Unnamed Item ⋮ On the Erdős covering problem: the density of the uncovered set

Cites Work

• Unnamed Item
• Unnamed Item
• Solution of the minimum modulus problem for covering systems
• On an irreducibility theorem of A. Schinzel associated with coverings of the integers
• Covering systems with restricted divisibility
• On odd covering systems with distinct moduli
• Sieving by large integers and covering systems of congruences
• Necessary conditions for distinct covering systems with square-free moduli
• Reducibility of polynomials and covering systems of congruences

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