## [ EGZ ] “ Theorem in Additive Number Theory ”

- P. Erdös, A. Ginzburg, A.
- Ziv Bull . Research Council Israel
- 2003

- Published 2006

We prove that for all but a certain number of abelian groups of order n the Davenport constant is atmost n k + k − 1 for positive integers k ≤ 7. For groups of rank three we improve on the existing bound involving the Alon-Dubiner constant. I. Introduction Let G be an abelian group of order n. A sequence of elements (not necessarily distinct) of G is called… CONTINUE READING

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