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Dive into the research topics where Bernadette Faye is active.

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Featured researches published by Bernadette Faye.


Analele Universitatii "Ovidius" Constanta - Seria Matematica | 2016

Repdigits as Euler functions of Lucas numbers

Jhon J. Bravo; Bernadette Faye; Florian Luca; Amadou Tall

Abstract We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.


Annales mathématiques du Québec | 2018

On the discriminator of Lucas sequences

Bernadette Faye; Florian Luca; Pieter Moree

We consider the family of Lucas sequences uniquely determined by


International Journal of Number Theory | 2015

On the equation φ(Xm - 1) = Xn - 1

Bernadette Faye; Florian Luca


Bulletin of The Korean Mathematical Society | 2015

ON THE EQUATION (5 m - 1)

Bernadette Faye; Florian Luca; Amadou Tall

U_{n+2}(k)=(4k+2)U_{n+1}(k) -U_n(k),


Bulletin of The Korean Mathematical Society | 2015

ON THE EQUATION (5m- 1) = 5n- 1

Bernadette Faye; Florian Luca; Amadou Tall


Bulletin of The Korean Mathematical Society | 2015

ON THE EQUATION (5 m 1) = 5 n 1

Bernadette Faye; Florian Luca; Amadou Tall

Un+2(k)=(4k+2)Un+1(k)-Un(k), with initial values


Taiwanese Journal of Mathematics | 2017

Powers of Two as Sums of Three Pell Numbers

Jhon J. Bravo; Bernadette Faye; Florian Luca


Archive | 2015

Pell and Pell-Lucas numbers with only one distinct digit

Bernadette Faye; Florian Luca

U_0(k)=0


Journal of Number Theory | 2018

Fields generated by sums and products of singular moduli

Bernadette Faye; Antonin Riffaut


arXiv: Number Theory | 2017

Diophantine Equation with Arithmetic functions and Binary recurrent sequences

Bernadette Faye

U0(k)=0 and

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Florian Luca

University of the Witwatersrand

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Jhon J. Bravo

National Autonomous University of Mexico

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