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Finite addition theorems, I

✍ Scribed by A. Sárközy


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
589 KB
Volume
32
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES


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Let \(a_{1}, \ldots, a_{k}\) be a sequence of elements in an Abelian group of order \(n\) (repetition allowed). In this paper, we give two sufficient conditions such that an element \(g \in G\) can be written in the form \(g=a_{i_{1}}+a_{i_{2}}+\cdots+a_{i_{n}}, 1 \leqslant i_{1}<i_{2}<\cdots<i_{n}

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Let Z. be the cyclic group of order n. For a sequence S of elements in Z., we usef(S) to denote the number of subsequences of S that the sum of whose terms is zero. In this paper, we determine all sequences S of elements in Z. for which ~<f(S)/[Sl-<l