An addition theorem for the elementary Abelian group of type (p,p) |
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| Authors: | Henry B Mann Ying Fou Wou |
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| Institution: | (1) Department of Mathematics, University of Arizona, 85715 Tucson, AZ, USA;(2) Department of Mathematics, Beijing Normal University Beijing, China |
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| 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.Dedicated to Professor E. Hlawka on the occasion of his seventieth birthday |
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| Keywords: | |
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