Exact m-covers and the linear form $∑^k_{s=1} x_s/n_s$

DOI10.4064/aa-81-2-175-198zbMath0871.11011OpenAlexW1418752553MaRDI QIDQ4345852

Zhi-Wei Sun

Publication date: 29 July 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207060

zbMATH Keywords

coveringlinear form

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25) Rational numbers as sums of fractions (11D68)

Related Items (10)

Zero-sum problems for abelian \(p\)-groups and covers of the integers by residue classes ⋮ A sharp result on $m$-covers ⋮ A connection between covers of the integers and unit fractions ⋮ On the Herzog-Schönheim conjecture for uniform covers of groups. ⋮ On the equation \(x_1^{m_1}+\cdots + x_n^{m_n} = ax_1 \cdots x_n\) over a finite field ⋮ Exact \(m\)-covers of groups by cosets ⋮ Algebraic approaches to periodic arithmetical maps ⋮ Unification of zero-sum problems, subset sums and covers of ℤ ⋮ Clique numbers of graphs and irreducible exact \(m\)-covers of the integers ⋮ Factorization formulae on counting zeros of diagonal equations over finite fields

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