Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896841 | Journal of Number Theory | 2018 | 10 Pages |
Abstract
Let G be a finite abelian group. For any integer aâ¥1, we define the constant sâ¤a(G) as the least positive integer t such that any sequence S over G of length at least t has a zero-sum subsequence of length â¤a in it. In this article, we compute this constant for many classes of abelian p-groups. In particular, it proves a conjecture of Schmid and Zhuang [20].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bidisha Roy, R. Thangadurai,