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期刊论文
Olson's constant for the group Zp⊕Zp
Journal of Combinatorial Theory, Series A 107 (2004) 49-67,-0001,():
Let G be a finite abelian group. By Ol (G), we mean the smallest integert such that every subset A=G of cardinalityt contains a non-empty subset whose sum is zero. In this article, we shall prove that for all primes p>4.67×10*34, we have Ol (Zp⊕Zp)=p+Ol (Zp)-1 and hence we have Ol (Zp⊕Zp)≤p-1+「2p+5 logp「. This, in particular, proves that a conjecture of Erdo+s (stated below) is true for the group Zp⊕Zp for all primes p>4.67×10*34:
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