The number of \(k\)-sums modulo \(k\)

DOI10.1006/jnth.1999.2405zbMath0929.11008OpenAlexW2027626405MaRDI QIDQ1306692

Imre Leader, Béla Bollobás

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2405

zbMATH Keywords

subsequence-sum

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Sequences (mod (m)) (11B50)

Related Items (20)

On the inverse problems associated with subsequence sums of zero-sum free sequences over finite abelian groups. II ⋮ Representing Sequence Subsums as Sumsets of Near Equal Sized Sets ⋮ k-Sums in Abelian Groups ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ ON SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES IN ABELIAN GROUPS OF RANK TWO ⋮ ON SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES OVER ⋮ Inverse problems associated with subsequence sums in \(C_p \oplus C_p\). II ⋮ On subsequence sums of a zero-sum free sequence over finite abelian groups ⋮ Onn-Sums in an Abelian Group ⋮ Inverse problems associated with \(k\)-sums of sequences over finite abelian groups ⋮ On zero-sum subsequences of length \(k \exp(G)\) ⋮ Representation of group elements as subsequence sums. ⋮ Subsequence sums: direct and inverse problems ⋮ On the inverse problems associated with subsequence sums of zero-sum free sequences over finite abelian groups ⋮ On the number of subsequences with given sum of sequences over finite abelian \(p\)-groups ⋮ Inverse problems for certain subsequence sums in integers ⋮ Inverse problems associated with subsequence sums in \(C_p \oplus C_p\) ⋮ Sums and \(k\)-sums in abelian groups of order \(k\) ⋮ A generalization of Kneser's addition theorem ⋮ Iterated sumsets and setpartitions

Cites Work

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• On Davenport's constant
• An addition theorem for finite abelian groups
• Sums in the grid
• Addition theorems for finite abelian groups
• A combinatorial problem on finite abelian groups
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• Sum Zero (\mod n), Size n Subsets of Integers

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