A Sidon basis
type: Item
instance of: scholarly article
title: A Sidon basis
zbMATH Open document ID: 1200.11008
author: Jean-Marc Deshouillers
author: Alain Plagne
published in: Acta Mathematica Hungarica
publication date: 2009-12-29T00:00:00Z
review text: A Sidon set is a set \(A\) of nonnegative integers where any two sums \(a+a'\) with \(a,a'\in A\) are different. A is called a Sidon basis if there exists an integer \(h\geq 3\) such that \(hA\) (the set of sums of \(h\) not necessarily distinct elements of \(A\)) contains all large enough integers. Then it is shown that there exists a Sidon basis with \(h\leq 7\).
reviewed by: Joachim Piehler
Mathematics Subject Classification ID: 11B13
Mathematics Subject Classification ID: 11B75
zbMATH DE Number: 5652017
zbMATH Keywords: Sidon set
zbMATH Keywords: additive basis
zbMATH Keywords: Sidon basis
MaRDI profile type: Publication
full work available at URL: s10474-008-8097-3
OpenAlex ID: W2079010831
cites work: Q5842118
cites work: Q5842452
cites work: Über Basen der natürlichen Zahlenreihe
cites work: Problème de Waring avec exposants non entiers
cites work: On additive properties of general sequences
cites work: On a Problem of Sidon in Additive Number Theory, and on some Related Problems
cites work: Representation functions, Sidon sets and bases
cites work: Unsolved problems in number theory
cites work: Q5844663
cites work: An infinite Sidon sequence
cites work: An almost polynomial Sidon sequence
cites work: A Theorem in Finite Projective Geometry and Some Applications to Number Theory
cites work: Q5850594
cites work: Further improvements in Waring's problem
DOI: 10.1007/S10474-008-8097-3
description: scientific article; zbMATH DE number 5652017