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Ballot Numbers, Alternating Products, and the Erdős-Heilbronn Conjecture

In: The Mathematics of Paul Erdős I

Author

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  • Melvyn B. Nathanson

    (Lehman College (CUNY), Department of Mathematics)

Abstract

Let A be a subset of an abelian group. Let hA denote the set of all sums of h elements of A with repetitions allowed, and let h ∧ A denote the set of all sums of h distinct elements of A, that is, all sums of the form a 1+⋯+a h , where a 1,…,a h ∈A and a i ≠a j for i≠j.

Suggested Citation

  • Melvyn B. Nathanson, 2013. "Ballot Numbers, Alternating Products, and the Erdős-Heilbronn Conjecture," Springer Books, in: Ronald L. Graham & Jaroslav Nešetřil & Steve Butler (ed.), The Mathematics of Paul Erdős I, edition 2, pages 187-205, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7258-2_13
    DOI: 10.1007/978-1-4614-7258-2_13
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