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On Additive Bases (II)
Author(s) -
Deshouillers JeanMarc,
Fouvry Etienne
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-14.3.413
Subject(s) - sequence (biology) , combinatorics , mathematics , basis (linear algebra) , set (abstract data type) , discrete mathematics , chemistry , computer science , biochemistry , geometry , programming language
The following result, conjectured by P. Erös, A. Sárközi and J. ‐M. Deshouillers is proved: for every sequence K of positive integers, there exists a sequence of integers A such that the set of the k th powers of the elements of A is an additive basis if and only if k belongs to K .