Large zero-free subsets of Z/pZ

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dc.creatorDeshouillers, Jean-Marc
dc.creatorPrakash, Gyan
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:45Z
dc.date.available2026-07-07T12:33:45Z
dc.descriptionA finite subset $A$ of an abelian group $G$ is said to be zero-free if the identity element of $G$ cannot be written as a sum of distinct elements from $A$. In this article we study the structure of zero-free subsets of $Z/pZ$ the cardinality of which is close to largest possible. In particular, we determine the cardinality of the largest zero-free subset of $Z/pZ$, when $p$ is a sufficiently large prime.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0901.3713
dc.identifierhttp://arxiv.org/abs/0901.3713
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217242
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.titleLarge zero-free subsets of Z/pZ
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