Algebraic approaches to periodic arithmetical maps

DOI10.1006/jabr.2000.8721zbMath0974.11007OpenAlexW1986358498MaRDI QIDQ5939574

Zhi-Wei Sun

Publication date: 16 December 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/64ddb34183cb72ad861295b4f938bc1ff8e9bdf9

zbMATH Keywords

arithmetical mapcommutative monoidcovering systemsequivalent systemsweighted residue systems

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic progressions (11B25)

Related Items

Zero-sum problems for abelian \(p\)-groups and covers of the integers by residue classes ⋮ On the properties of invariant functions ⋮ On the Herzog-Schönheim conjecture for uniform covers of groups. ⋮ ON m-COVERS AND m-SYSTEMS ⋮ Unification of zero-sum problems, subset sums and covers of ℤ ⋮ On the range of a covering function ⋮ A local-global theorem on periodic maps ⋮ Generalizations of Knopp's identity.

Cites Work

• Products of binomial coefficients modulo p²
• Covering the integers by arithmetic sequences. II
• Exact m-covers and the linear form $∑^k_{s=1} x_s/n_s$
• Disjoint Covering Systems
• On m times covering systems of congruences
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