On the diophantine equation $(x^3-1)/(x-1)=(y^n-1)/(y-1)$

DOI10.1090/S0002-9947-99-02013-9zbMath0927.11014MaRDI QIDQ4226664

Maohua Le

Publication date: 27 January 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

exponential diophantine equationsgeneralized Ramanujan-Nagell equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Related Items (8)

Compositum of two number fields of prime degree ⋮ An old and new approach to Goormaghtigh’s equation ⋮ On the number of solutions of Goormaghtigh equation for given \(x\) and \(y\) ⋮ On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\) ⋮ The Diophantine equation 2𝑥²+1=3ⁿ ⋮ A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION ⋮ On the Diophantine equation \(ax^2+by^2=ck^n\) ⋮ An upper bound for least solutions of the exponential Diophantine equation D₁x² - D₂y² = λk^z

Cites Work

• The diophantine equation \(x^2+7=2^n\)
• A note on the generalized Ramanujan-Nagell equation
• Linear forms in two logarithms and interpolation determinants
• Unsolved problems in number theory
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