Representation of integers: a nonclassical point of view | Zendy

Bellaouar Djamel | Zendy; Abdelmadjid Boudaoud | Zendy

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Representation of integers: a nonclassical point of view

Author(s) -

Bellaouar Djamel,

Abdelmadjid Boudaoud

Publication year - 2020

Publication title -

journal of logic and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.278

H-Index - 4

ISSN - 1759-9008

DOI - 10.4115/jla.2020.12.4

Subject(s) - integer (computer science) , mathematics , omega , combinatorics , point (geometry) , product (mathematics) , representation (politics) , discrete mathematics , computer science , physics , geometry , quantum mechanics , politics , political science , law , programming language

In [2], A. Boudaoud asked the following question: Which n ∈ N unlimited can be represented in the form n = s + ω1ω2 , where s ∈ Z is limited and ω1 , ω2 ∈ N are unlimited? In this paper we partially answer this question, ie we present some families of unlimited positive integers which can be written as the sum of a limited integer and the product of at least two unlimited positive integers. 2010 Mathematics Subject Classification 26E35,03H05 (primary); 11A51, 11A41, 11B83. (secondary)

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