Abstract
Asubset A of elements of a group G is (k, l)-sum-free if A does not contains solutions of the equation x1 + . . . + xk = y1 + . . . + yl. We have obtained asymptotics of the logarithm of the number of (k, l)-sum-free sets in an Abelian group.
Published Online: 2015-4-17
Published in Print: 2015-4-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Weighing algorithms of classification and identification of situations
- Arithmetic complexity of the Stirling transforms
- Asymptotics of the logarithm of the number of (k, l)-sum-free sets in an Abelian group
- Multiplicative complexity of some Boolean functions
- On a statistic for testing the homogeneity of polynomial samples
Keywords for this article
sum-free set;
characteristic function;
group;
progression;
coset
Articles in the same Issue
- Frontmatter
- Weighing algorithms of classification and identification of situations
- Arithmetic complexity of the Stirling transforms
- Asymptotics of the logarithm of the number of (k, l)-sum-free sets in an Abelian group
- Multiplicative complexity of some Boolean functions
- On a statistic for testing the homogeneity of polynomial samples