1 citations · 1 across the 6 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2023★ 1 cited
A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications
Said Zriaa, Mohammed Mouçouf
In this work, we define a more general family of polynomials in several variables satisfying a linear recurrence relation. Then we provide explicit formulas and determinantal expre…
math.NT2023
Explicit, recurrent, determinantal expressions of the th power of formal power series and applications to the generalized Bernoulli numbers
Said Zriaa, Mohammed Mouçouf
In this work, the authors provide closed forms and recurrence expressions for computing the th power of the formal power series, some of them in terms of a determinant of some m…
math.NT2023
A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function
Said Zriaa
By using the elementary symmetric polynomials and some results of number theory, we solve the well known problem of Lehmer on Euler's totient function. As application, we obtain a…