1. On a different weighted zero-sum constant.
- Author
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Mondal, Santanu, Paul, Krishnendu, and Paul, Shameek
- Subjects
- *
NATURAL numbers , *ABELIAN groups , *FINITE groups - Abstract
For a finite abelian group (G , +) , the constant C (G) is defined to be the smallest natural number k such that any sequence in G having length k will have a subsequence of consecutive terms whose sum is zero. For a subset A of Z n , the constant C A (n) is the smallest natural number k such that any sequence in G having length k will have an A -weighted zero-sum subsequence of consecutive terms. We determine the value of C A (n) for some weight-sets A which are related to units in Z n. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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