Abstract
In this paper we prove that every element in the finite Abelian groupZ p ×Z p ,p>3,p prime, can be written as a sum over a subset of the setA, whereA is any set of non-zero elements ofZ p ×Z p with |A|=2p−2.
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Dedicated to Professor E. Hlawka on the occasion of his seventieth birthday
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Mann, H.B., Fou Wou, Y. An addition theorem for the elementary Abelian group of type (p, p). Monatshefte für Mathematik 102, 273–308 (1986). https://doi.org/10.1007/BF01304301
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DOI: https://doi.org/10.1007/BF01304301