On the range of a covering function

DOI10.1016/j.jnt.2004.11.004zbMath1101.11007arXivmath/0409279OpenAlexW2095998212MaRDI QIDQ2565550

Zhi-Wei Sun

Publication date: 27 September 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409279

zbMATH Keywords

arithmetic progressioncovering systemcovering function

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Algebraic numbers; rings of algebraic integers (11R04) Arithmetic progressions (11B25)

Related Items (4)

Zero-sum problems for abelian \(p\)-groups and covers of the integers by residue classes ⋮ A sharp result on $m$-covers ⋮ On odd covering systems with distinct moduli ⋮ A local-global theorem on periodic maps

Cites Work

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• Unions of arithmetic sequences
• On the function \(\omega(x)=| \{1\leq s\leq k:x\equiv a_s\pmod{n_s}\}| \)
• Arithmetic properties of periodic maps
• Covering systems and generating functions
• Covering the integers by arithmetic sequences. II
• On properties of systems of arithmetic sequences
• Disjoint Covering Systems
• Unification of zero-sum problems, subset sums and covers of ℤ
• Covering the integers by arithmetic sequences
• On integers not of the form ±𝑝^{𝑎}±𝑞^{𝑏}
• Unsolved problems in number theory
• Algebraic approaches to periodic arithmetical maps

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