Bakir FARHI

On the possible quantities of Fibonacci numbers that occur in some types of intervals

Acta Mathematica Universitatis Comenianae vol: 87, pp: 291-299, num: 2, 2018 .

Keyword :Fibonacci numbers

URL :http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/834

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Bakir FARHI

On the representation of an even perfect number as the sum of five cubes

Functiones et Approximatio Commentarii Mathematici vol: 57, pp: 277-278, num: 2, 2017 .

Keyword :Perfect numbers, Sum of cubes

URL :https://projecteuclid.org/euclid.facm/1490688028

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Bakir FARHI

An elementary proof that any natural number can be written as the sum of three terms of the sequence ⌊n^2/3⌋

Journal of integer sequences vol: 17, July 11, 2014 .

Keyword :Additive bases, sum of squares, The Gauss-Legendre theorem.

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Bakir FARHI

Algebraic and topological structures on the set of mean functions and generalization of the AGM mean

Colloquim Mathematicum vol: 132, pp: 139-149, 2013 .

Keyword :Means, abelian groups, metric spaces, symmetries

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Bakir FARHI

On the representation of the natural numbers as the sum of three terms of the sequence [n^2/a]

Journal of Integer sequences vol: 16, 2013 .

Keyword :Additive bases, Legendre's theorem

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Bakir FARHI

A study of a curious arithmetic function

Journal of Integer sequences vol: 15, 2012 .

Keyword :Arithmetic function, least common multiple, 2-adic valuation

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Bakir FARHI

An explicit formula generating the non-Fibonacci numbers

Arxiv arXiv: 1105.1127v2 (10 May 2011), 2011 .

Keyword :The complement of a sequence, non-Fibonacci numbers

URL :http://www.arxiv.org

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Bakir FARHI

How to obtain the continued fraction convergents of the number e by neglecting integrals

Arxiv arXiv: 1005.2951v2 (19 May 2010), 2010 .

Keyword :Continued fractions, rational approximations, integrals with positive integrands

URL :http://www.arxiv.org

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Bakir FARHI

An analog of the arithmetic triangle obtained by replacing the products by the least common multiples

Arxiv arXiv: 1002.1383v2 (9 Feb 2010), 2010 .

Keyword :Al-Karaji's triangle, least common multiple, binomial coefficients

URL :http://www.arxiv.org

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Bakir FARHI

On the average asymptotic behavior of a certain type of sequences of integers

Integers : Electronic Journal of Combinatorial Number Theory vol: 9, pp: 555-567, num: #A42, 2009 .

Keyword :Least common multiple, special sequences of integers, convergence in the average sense, irrational numbers

URL :http://www.integers-ejcnt.org/

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