On the reciprocal sum of sum-free sequences
نویسندگان
چکیده
منابع مشابه
Zero-sum Free Sequences with Small Sum-set
Let A be a zero-sum free subset of Zn with |A| = k. We compute for k ≤ 7 the least possible size of the set of all subset-sums of A.
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A fairly long-standing conjecture is that the Davenport constant of a group G = Zn1 ⊕ · · · ⊕ Znk with n1| . . . |nk is 1 + ∑k i=1(ni − 1). This conjecture is false in general, but it remains to know for which groups it is true. By using inductive methods we prove that for two fixed integers k and ! it is possible to decide whether the conjecture is satisfied for all groups of the form Zk ⊕ Zn ...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2014
ISSN: 1674-7216
DOI: 10.1360/n012013-00102