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

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The Mathematics of Paul Erdös I

Part of the book series: Algorithms and Combinatorics ((AC,volume 13))

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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 hA and a i a j for ij.

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© 1997 Springer-Verlag Berlin Heidelberg

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Nathanson, M.B. (1997). Ballot Numbers, Alternating Products, and the Erdős-Heilbronn Conjecture. In: Graham, R.L., Nešetřil, J. (eds) The Mathematics of Paul Erdös I. Algorithms and Combinatorics, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60408-9_16

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  • DOI: https://doi.org/10.1007/978-3-642-60408-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64394-1

  • Online ISBN: 978-3-642-60408-9

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