Análisis de Fourier sobre ZN y conjuntos Bh

A set A of positive integers is called a Bh set, if all sums ofh elements of A are different. In this paper we use basic properties ofFourier analysis on ZN and follow the style of Ben Green [4] to concludewith a different method, the upper bounds obtained by Jia [6], Chen [2] andGraham [5] with res...

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Detalhes bibliográficos
Autores: Bravo G., Jhon Jairo, Trujillo S., Carlos Alberto
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2010
País:Colombia
Recursos:Universidad Industrial de Santander
Repositório:Repositorio UIS
Idioma:espanhol
OAI Identifier:oai:noesis.uis.edu.co:20.500.14071/7285
Acesso em linha:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2060
https://noesis.uis.edu.co/handle/20.500.14071/7285
Access Level:Acceso aberto
Palavra-chave:Sidon sets
Bh sets
Conjuntos de Sidon
conjuntos Bh
Descrição
Resumo:A set A of positive integers is called a Bh set, if all sums ofh elements of A are different. In this paper we use basic properties ofFourier analysis on ZN and follow the style of Ben Green [4] to concludewith a different method, the upper bounds obtained by Jia [6], Chen [2] andGraham [5] with respect to the maximum cardinal that can have a Bh setcontained in the first N positive integers.