A. Togbé

发表

On the Diophantine equation $${y^{p} = \frac{f(x)}{g(x)}}$$yp=f(x)g(x)

S. Subburam, A. Togbé, 2018, Acta Mathematica Hungarica.

On the number of solutions of Goormaghtigh equation for given x and y

A. Togbé, B. He, 2008 .

International Journal of Applied Mathematics & Statistics Editorial Board International Journal of Applied Mathematics & Statistics Regularization of Projection Directions via Best Basis Selection Approach Fitting Smooth Paths on Riemannian Manifolds Normal Mode Expansion Method for Generalized Ther

Delfim F. M. Torres, Wang, Liu, 2022 .

Generalized Lucas numbers of the form 3 × 2^m

A. Togbé, S. Rihane, Chèfiath Adegbindin, 2021, Notes on Number Theory and Discrete Mathematics.

Repdigits as Sums of Four Fibonacci or Lucas Numbers

Florian Luca, Alain Togbé, Florian Luca, 2018, J. Integer Seq..

Factorials as repdigits in base $b$

A. Togbé, N. Irmak, 2022, Notes on Number Theory and Discrete Mathematics.

Repdigits as sums of four Pell numbers

Florian Luca, Alain Togbé, Benedict Vasco Normenyo, 2019 .

Generalization of a theorem of Adegbindin, Luca and Togbé

A. Togbé, S. Rihane, Djohra Meguedmi, 2021, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

SERIJA III www.math.hr/glasnik

A. Togbé, Zhong-Can Zhang, 2019 .

ON THE EXPONENTIAL DIOPHANTINE EQUATION x2+p2m=2yn

A. Togbé, M. Le, Huilin Zhu, 2012, Bulletin of the Australian Mathematical Society.

THE DIOPHANTINE EQUATION (2am - 1)x + (2m)y = (2am + 1)z

A. Togbé, T. Miyazaki, 2012 .

On the diophantine equation x 2 + 2 α 5 β 13 γ = y n

F. Luca, A. Togbé, Edray Goins, 2008 .

On the sum of powers of terms of a linear recurrence sequence

Ana Paula Chaves, A. Togbé, D. Marques, 2012 .

There is no Diophantine quintuple

A. Togbé, B. He, Volker Ziegler, 2016, Transactions of the American Mathematical Society.

The extensibility of the $$D(\pm k)$$D(±k)-triple $$\{k\mp 1,k, 4k\mp 1\}$${k∓1,k,4k∓1}

A. Togbé, B. He, Appolinaire Dossavi-Yovo, 2017 .

Another generalization of a theorem of Baker and Davenport

A. Togbé, B. He, 'Akos Pint'er, 2015, 1510.05579.

On the family of diophantine triples .

A. Togbé, A. Filipin, 2009 .

The extendibility of Diophantine pairs I : the general case

A. Togbé, Y. Fujita, A. Filipin, 2014 .

On Diophantine, pronic and triangular triples of balancing numbers

A. Togbé, G. Panda, S. G. Rayaguru, 2020 .

On the solutions of the exponential Diophantine equation a x + b y = (m 2 + 1) z

A. Togbé, B. He, Shichun Yang, 2013 .

Solving a family of Thue equations with an application to the equation $x^2-Dy^4=1$

A. Togbé, P. Voutier, P. Walsh, 2005 .

k-Fibonacci numbers which are Padovan or Perrin numbers

A. Togbé, S. Rihane, 2022, Indian Journal of Pure and Applied Mathematics.

Padovan and Perrin numbers as product of two repdigits

A. Togbé, S. Rihane, 2022, Boletín de la Sociedad Matemática Mexicana.

Balancing Numbers as Sum of Same Power of Consecutive Balancing Numbers

A. Togbé, Souleymane Nansoko, E. Tchammou, 2022, Vietnam Journal of Mathematics.

On the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+\cdots+F_{n+k-1}^{x}=F_{m}$

F. Luca, A. Togbé, E. Tchammou, 2022, Functiones et Approximatio Commentarii Mathematici.

On the system of Pell equations $$x^2-(a^2b^2 {\pm } a)y^2=1$$ x 2 - (

A. Togbé, S. Rihane, E. Tchammou, 2021 .

On the exponential Diophantine equation P xn + P xn

F. Luca, A. Togbé, S. Rihane, 2019 .

Extension of a parametric family of Diophantine triples in Gaussian integers

A. Togbé, A. Bayad, A. Filipin, 2016 .

Another generalization of a theorem of Baker and Davenport

A. Togbé, B. He, 'Akos Pint'er, 2015, 1510.05579.

Uniqueness of the extension of the D ( 4 k 2 )-triple { k 2 − 4 , k 2 , 4 k 2 − 4 }

A. Togbé, Y. Fujita, 2012 .

On the size of the intersection of two Lucas sequences of distinct type II

M. Mignotte, A. Togbé, Mihai Cipu, 2011 .

On the solutions of a parametric family of cubic Thue equations

A. Togbé, 2008 .

Simultaneous Pellian equations with a single or no solution

A. Togbé, B. He, 2008 .

A parametric family of cubic Thue equations

A. Togbé, 2004 .

Pell and Pell–Lucas Numbers as Sums of Two Repdigits

F. Luca, A. Togbé, Chèfiath Adegbindin, 2020, Bulletin of the Malaysian Mathematical Sciences Society.

On the Diophantine equation x2 + C= yn for C = 2a3b17c and C = 2a13b17c

A. Togbé, D. Marques, H. Godinho, 2016 .

A DIOPHANTINE EQUATION INVOLVING C-NOMIAL COEFFICIENTS

A. Togbé, D. Marques, 2011 .

On a class of quartic Thue equations with three parameters

A. Togbé, B. He, Japhet Odjoumani, 2019, Journal of Number Theory.

On two Diophantine equations of Ramanujan-Nagell type

A. Togbé, Zhong-Can Zhang, 2016 .

THE EXPONENTIAL DIOPHANTINE EQUATION nx + (n + 1)y = (n + 2)z REVISITED

A. Togbé, B. He, 2009, Glasgow Mathematical Journal.

On a pure ternary exponential Diophantine equation

A. Togbé, M. Le, Huilin Zhu, 2014 .

Complete solutions of a family of cubic Thue equations

A. Togbé, 2006 .

Common terms of k-Pell numbers and Padovan or Perrin numbers

A. Togbé, S. Rihane, B. Normenyo, 2022, Arabian Journal of Mathematics.

A 2×2 lattice space-time code of the highest rank

A. Togbé, B. He, Shichun Yang, 2009 .

Comparative study of simple feature extraction for single-channel EEG based classification

Li Tan, Jean Jiang, Alain Togbé, 2017, 2017 IEEE International Conference on Electro Information Technology (EIT).

Generalized Cullen numbers in linear recurrence sequences

A. Togbé, Y. Bilu, D. Marques, 2018, Journal of Number Theory.

On the solutions of the Diophantine equation $$P_n\pm \frac{a(10^m-1)}{9}=k!$$ P n ±

A. Togbé, K. N. Adédji, F. Luca, 2023, European Journal of Mathematics.

On the solutions of the Diophantine equation Fn±a(10m−1)9=k!

F. Luca, A. Togbé, K. N. Adédji, 2022, Journal of Number Theory.

On the solutions of the Diophantine equation Pn±a(10m-1)9=k!\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P_n\pm \fr

A. Togbé, K. N. Adédji, F. Luca, 2023, European Journal of Mathematics.

The Diophantine equations $$P_n^x+P_{n+1}^y=P_m^x$$ P n x +

A. Togbé, S. Rihane, Bernadette Faye, 2023, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

The Diophantine equations P xn + P yn + 1 = P xm or P yn + P xn + 1 = P xm

F. Luca, A. Togbé, S. Rihane, 2023 .

Pell factoriangular numbers

F. Luca, A. Togbé, Japhet Odjoumani, 2019, Publications de l'Institut Math?matique (Belgrade).

On the exponential Diophantine equation Pxn+Pxn+1=Pm

F. Luca, A. Togbé, S. Rihane, 2019, TURKISH JOURNAL OF MATHEMATICS.

On the sum of powers of two consecutive Fibonacci numbers

A. Togbé, D. Marques, 2010 .

On binary palindromes of the form 10n±1⁎

Florian Luca, Alain Togbé, F. Luca, 2008 .

On the Diophantine Equation x 2 + 2 α 5 β 13 γ = yn

F. Luca, A. Togbé, Edray Goins, 2008 .

A note on the Erdős–Straus conjecture

S. Subburam, Alain Togbé, S. Subburam, 2016, Period. Math. Hung..

Pell–Lucas Numbers as Sum of Same Power of Consecutive Pell Numbers

A. Togbé, S. Rihane, E. Tchammou, 2022, Mediterranean Journal of Mathematics.

An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers

A. Togbé, S. Rihane, 2022, Mathematica Slovaca.

On the exponential Diophantine equation Pxn + Pxn+1 + ⋯ + Pxn+k-1 = Pm

F. Luca, A. Togbé, E. Tchammou, 2020 .

Complete solution of the exponential Diophantine equation

F. Luca, A. Togbé, C. A. Gómez, 2022 .

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Salah E. Rihane, Bernadette Faye, Florian Luca, 2018, Annales Mathematicae et Informaticae.

On the sum of powers of terms of a linear recurrence sequence

Ana Paula Chaves, A. Togbé, D. Marques, 2012, Bulletin of the Brazilian Mathematical Society, New Series.

Perfect powers among Fibonomial coefficients

A. Togbé, D. Marques, 2010 .

On perfect powers that are sums of two Pell numbers

Alain Togbé, Salah Eddine Rihane, Mohand Ouamar Hernane, 2020, Period. Math. Hung..

On perfect powers that are sums of two Pell numbers

A. Togbé, S. Rihane, M. Hernane, 2020, Periodica Mathematica Hungarica.

On the intersection of k-Lucas sequences and some binary sequences

Alain Togbé, Salah Eddine Rihane, A. Togbé, 2021, Period. Math. Hung..

On the intersection of k-Lucas sequences and some binary sequences

A. Togbé, S. Rihane, 2021, Periodica Mathematica Hungarica.

ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn

Fadwa S. Abu Muriefah, Florian Luca, Alain Togbé, 2008, Glasgow Mathematical Journal.

On the Exponential Diophantine Equation $(a^n-1)(b^n-1)=x^2$

A. Togbé, Zhong-Can Zhang, Armand Noubissie, 2020, Bulletin of the Belgian Mathematical Society - Simon Stevin.

Fibonacci and Lucas numbers of the form 2[a]+3[b]+5[c]

A. Togbé, D. Marques, 2013 .

Repdigits as products of consecutive Padovan or Perrin numbers

A. Togbé, S. Rihane, 2021 .

Repdigits as products of consecutive Padovan or Perrin numbers

A. Togbé, S. Rihane, 2021, Arabian Journal of Mathematics.

On Pillai's problem with Pell numbers and powers of 2

F. Luca, A. Togbé, S. Rihane, 2019, Hardy-Ramanujan Journal.

On the Diophantine equation ∑j=1kjPjp=Pnq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sum_{j=1}^{k}jP_j^p=P_n^q$$\

A. Togbé, E. Tchammou, 2020, Acta Mathematica Hungarica.

On some Diophantine equations involving balancing numbers

Alain Togbé, Euloge Tchammou, A. Togbé, 2021 .

Padovan and Perrin Numbers Which are Products of Two Repdigits in Base b

Alain Togbé, Alan Filipin, Kouèssi Norbert Adédji, 2021, Results in Mathematics.

On repdigits as product of consecutive Fibonacci numbers

Alain Togbé, Diego Marques, A. Togbé, 2012 .

On a conjecture concerning the multiplicity of the Tribonacci sequence

F. Luca, A. Togbé, C. A. Gómez, 2020 .

PERFECT POWERS THAT ARE SUMS OF TWO POWERS OF FIBONACCI NUMBERS

A. Togbé, Zhong-Can Zhang, 2018, Bulletin of the Australian Mathematical Society.

Automatic solution of families of Thue equations and an example of degree 8

Clemens Heuberger, Volker Ziegler, Alain Togbé, 2004, J. Symb. Comput..

On the X-coordinates of Pell equations which are rep-digits, II

Florian Luca, Alain Togbé, Sossa Victorin Togan, 2019, Annales Mathematicae et Informaticae.

On the conjecture of Jeśmanowicz

A. Togbé, G. Soydan, M. Demirci, 2017 .

A note on the Diophantine equation $$y^2=px(A{x^{2}}+2)$$

A. Togbé, 2014 .

Pell and Pell–Lucas numbers of the form $$x^a\pm x^b+1$$

A. Togbé, S. Rihane, Bir Kafle, 2020, Boletín de la Sociedad Matemática Mexicana.

Padovan or Perrin numbers that are concatenations of two distinct base b repdigits

A. Togbé, S. Rihane, K. N. Adédji, 2023, Mathematica Slovaca.

On repdigits as product of consecutive Lucas numbers

Nurettin Irmak, Alain Togbé, A. Togbé, 2018, Notes on Number Theory and Discrete Mathematics.

Fibonacci and Lucas numbers as products of three repdgits in base g

A. Togbé, A. Filipin, K. N. Adédji, 2022, Rendiconti del Circolo Matematico di Palermo Series 2.

On the Diophantine equation $${a^{x} + b^{y} = (a + 2)^z}$$ax+by=(a+2)z

A. Togbé, T. Miyazaki, P. Yuan, 2016 .

ON THE DIOPHANTINE EQUATION a x + b y = ( a + 2) z

A. Togbé, T. Miyazaki, P. Yuan, 2016 .

On b-repdigits as product of consecutive of Lucas members

A. Togbé, S. Rihane, K. N. Adédji, 2023, Quaestiones Mathematicae.

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

A. Togbé, S. Rihane, A. Filipin, 2022, 2210.09699.

On terms of linear recurrence sequences with only one distinct block of digits

Alain Togbé, Diego Marques, A. Togbé, 2011 .

Lucas numbers as sums of two repdigits

F. Luca, A. Togbé, Chèfiath Adegbindin, 2019, Lithuanian Mathematical Journal.

Diophantine equations with products of consecutive values of a quadratic polynomial

A. Togbé, B. He, Shichun Yang, 2011 .

On the Ramanujan-Nagell type Diophantine equation x2+Akn=B

A. Togbé, Zhong-Can Zhang, 2018, Glasnik Matematicki.

ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATION axm−byn=c

A. Togbé, B. He, 2010, Bulletin of the Australian Mathematical Society.

On the Diophantine equation $x^2 + 2^{\alpha} 13^{\beta}=y^{n}$

Florian Luca, Alain Togbé, F. Luca, 2009 .

A generalization of a problem of Mordell

A. Togbé, B. He, Á. Pintér, 2015 .

Pentagonal and heptagonal repdigits

F. Luca, A. Togbé, Bir Kafle, 2020 .

Coincidence Between k-Fibonacci Numbers and Products of Two Fermat Numbers

Alain Togbé, Salah Eddine Rihane, Alioune Gueye, 2021, Bulletin of the Brazilian Mathematical Society, New Series.

A GENERALIZATION OF A THEOREM OF BUMBY ON QUARTIC DIOPHANTINE EQUATIONS

A. Togbé, M. Bennett, P. Walsh, 2006 .

A classical approach to a parametric family of simultaneous Pell equations with applications to a family of Thue equations

P. G. Walsh, A. Togbé, 2021, Boletín de la Sociedad Matemática Mexicana.

A parametric family of quartic Thue inequalities

A. Togbé, S. Rihane, M. Hernane, 2021, Notes on Number Theory and Discrete Mathematics.

Solutions of a class of quartic Thue inequalities

A. Togbé, S. Rihane, M. Hernane, 2021, Boletín de la Sociedad Matemática Mexicana.

On the Diophantine inequality |X2-cXY2+Y4| ≤ c+2

A. Togbé, B. He, I. Pink, 2013 .

Solutions of a class of quartic Thue inequalities

Bo He, Alain Togbé, Omar Kihel, 2009, Comput. Math. Appl..

ON THE DIOPHANTINE EQUATION z2=f(x)2±f(y)2, II

A. Togbé, B. He, M. Ulas, 2010, Bulletin of the Australian Mathematical Society.

Diophantine equations

F. Luca, A. Togbé, S. Akhtari, 1986 .

On a variant of a Diophantine equation of Cassels

A. Togbé, P. Yuan, 2011 .

On the exponential Diophantine equation $$x^{2}+2^{a}p^{b}=y^{n}$$x2+2apb=yn

Huilin Zhu, Alain Togbé, Maohua Le, 2015, Period. Math. Hung..

A note on the exponential Diophantineequation(𝑎𝑛−1)(𝑏𝑛−1) =𝑥2

A. Togbé, Armand Noubissie, 2019, Annales Mathematicae et Informaticae.

Diophantine triples of Fibonacci numbers

F. Luca, A. Togbé, B. He, 2016 .

Repdigits as sums of three Pell numbers

Florian Luca, Alain Togbé, Benedict Vasco Normenyo, 2018, Period. Math. Hung..

Computational Methods

A. Togbé, F. S. A. Muriefah, G. Liu, 2006 .

A NOTE OF THREE PRIME REPRESENTATION PROBLEMS

A. Togbé, Shichun Yang, 2016 .

On Some Equations Related to Ma's Conjecture

Pingzhi Yuan, Alain Togbé, Jiagui Luo, 2011, Integers.

Proof of the P-integer conjecture of Pomerance

A. Togbé, Shichun Yang, 2014 .