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Abstract Text For a positive integer k, let f ( k ) denote the largest integer t such that for every finite abelian group G and every zero-sum free subset… Click to show full abstract
Abstract Text For a positive integer k, let f ( k ) denote the largest integer t such that for every finite abelian group G and every zero-sum free subset S of G, if | S | = k then | Σ ( S ) | ≥ t . In this paper, we prove that f ( k ) ≥ 1 6 k 2 , which significantly improves a result of J.E. Olson. We also supply some interesting results on f ( k ) . Video For a video summary of this paper, please visit https://youtu.be/ZEHZFRUVJKY .
Keywords:
abelian group;
group;
sums sets;
group elements;
sets abelian
Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!