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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Bibliographic Details
Authors: Bravo G., Jhon Jairo, Trujillo S., Carlos Alberto
Format: article
Status:Published version
Publication Date:2010
Country:Colombia
Institution:Universidad Industrial de Santander
Repository:Repositorio UIS
Language:Spanish
OAI Identifier:oai:noesis.uis.edu.co:20.500.14071/7285
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2060
https://noesis.uis.edu.co/handle/20.500.14071/7285
Access Level:Open access
Keyword:Sidon sets
Bh sets
Conjuntos de Sidon
conjuntos Bh
Description
Summary: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.