8 citations · 26 across the 41 of their papers we have counts for
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math.NT2010
How to obtain the continued fraction convergents of the number by neglecting integrals
Bakir Farhi
In this note, we show that any continued fraction convergent of the number can be derived by approximating some integral $I_{n, m} := \int_{0}^{1} x^n (1 - x)^m e^…
math.NT2010
A study of a curious arithmetic function
Bakir Farhi
In this note, we study the arithmetic function defined by (, odd). We sh…
math.NT2010
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
Bakir Farhi
In this paper, we present new structures and results on the set $\M_\D$ of mean functions on a given symmetric domain $\D$ of . First, we construct on $\M_\D$ a struc…
math.NT2010★ 2 cited
An analog of the arithmetic triangle obtained by replacing the products by the least common multiples
Bakir Farhi
In this paper, we introduce an analog of the Al-Karaji arithmetic triangle by substituting in the formula of the binomial coefficients the products by the least common multiples. T…