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Technical Report HW-MACS-TR-0048

TitleOn s-sum vectors - version 2
AuthorsPierluigi Frisco
AbstractWe study vectors of positive integers such that a finite number of positive linear combinations of their elements results in the sum of the elements of the vector. We find a family of vectors such that their sum can be obtained only by one positive linear combination of their elements and we prove that this family contains the vectors having minimal sum in function of the number of their elements. An open problem in number theory is answered.
GroupIntelligent Systems Laboratory


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