A note on the Goormaghtigh equation concerning difference sets

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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On an equation of Goormaghtigh
Waring's problem for algebraic number fields and primes of the form $(p^ r -1)/(p^ d-1)$
On the Diophantine equation $\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}$
On the Diophantine equation $\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}$.
On the number of solutions of Goormaghtigh equation for given $x$ and $y$
A note on the Goormaghtigh equation
Proper partial geometries with Singer groups and pseudogeometric partial difference sets
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
Diophantine approximations, Diophantine equations, transcendence and applications
On the number of solutions of the generalized Ramanujan-Nagell equation
An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
Exceptional solutions of the exponential diophantine equation (x3 - 1) / (x - 1) = (yn - 1) / (y - 1)
Integers with identical digits
Application of the explicit abc-conjecture to two Diophantine equations
An old and new approach to Goormaghtigh’s equation
A remark on the Diophantine equation (x^3-1)/(x-1)=(y^n-1)/(y-1)
On the equation $a(x^m-1)/(x-1)=b(y^n-1)/(y-1)$.
New applications of Diophantine approximations to Diophantine equations.
On the diophantine equation $(x^3-1)/(x-1)=(y^n-1)/(y-1)$
On an equation of Goormaghtigh
Baker's explicit abc-conjecture and applications
Goormaghtigh's equation: small parameters
Sur une équation diophantienne considérée par Goormaghtigh
THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
EQUATIONS OF THE FORM f(x)=g(y)
Noncyclic Graph of a Group

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