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

Melvyn B. Nathanson ()
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Melvyn B. Nathanson: Lehman College (CUNY), Department of Mathematics

A chapter in The Mathematics of Paul Erdős I, 2013, pp 187-205 from Springer

Abstract: 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.

Keywords: Ballot Numbers; Diagonal Linear Operator; Hamidoune; Cauchy-Davenport Theorem; Cyclic Subspace (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7258-2_13

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DOI: 10.1007/978-1-4614-7258-2_13

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